MATE CCSS II/Tema 8-Integrales indefinidas y definidas Azalera-10 Kalkulatu honako funtzioek mugaturiko azalera (Calcula el área encerrada por las funciones) :

Erantzuna:

Azalera (Area): {#1} u²

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>4</mn><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>3</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>9</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-4-1 Kalkulatu honakoek mugaturiko azalera (Calcula el área encerrada por) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»o«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨»,«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»r«/mi»«mi mathsize=¨14px¨»d«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»b«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»z«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»k«/mi»«mo mathsize=¨14px¨».«/mo»«mspace linebreak=¨newline¨/»«mi mathsize=¨14px¨»L«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mi mathsize=¨14px¨»u«/mi»«mi mathsize=¨14px¨»n«/mi»«mi mathsize=¨14px¨»c«/mi»«mi mathsize=¨14px¨»i«/mi»«mi mathsize=¨14px¨»§#243;«/mi»«mi mathsize=¨14px¨»n«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»,«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»l«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»j«/mi»«mi mathsize=¨14px¨»e«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»O«/mi»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»l«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»s«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»r«/mi»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»c«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mi mathsize=¨14px¨»s«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»b«/mi»«mo mathsize=¨14px¨».«/mo»«/math»

Erantzuna:

Azalera (Area): {#1} u²

Erantzuna:

Azalera (Area): {#1} u²

Erantzuna:

Azalera (Area): {#1} u²

Erantzuna:

Azalera (Area): {#1} u²

Erantzuna:

Azalera (Area): {#1} u²

Erantzuna:

Azalera (Area): {#1} u²

Erantzuna:

Azalera (Area): {#1} u²

Erantzuna:

Azalera (Area): {#1} u²

Erantzuna:

Azalera (Area): {#1} u²

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>2</mn><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-7 «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«/math» funtzioen adierazpen grafikoa egin eta kalkulatu mugatzen duten azalera.

Realizar la representación gráfica de las funciones «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«/math» y calcular el área del recinto limitado por ellas.

Erantzuna:

Azalera (Area): {#1} u²

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mn>1</mn><mo>-</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>1</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-8 Kalkulatu honako funtzioek mugaturiko azalera (Calcula el área encerrada por las funciones) :

Erantzuna:

Azalera (Area): {#1} u²

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>96</mn><mn>5</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Azalera-9 Kalkulatu «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»e«/mi»«mi mathsize=¨14px¨»t«/mi»«mi mathsize=¨14px¨»a«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»X«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«/math» funtzioek mugatzen duten azalera.

Calcular el área del recinto limitado por las funciones «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»1«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»y«/mi»«mo mathsize=¨14px¨»§#160;«/mo»«mo mathsize=¨14px¨»§#160;«/mo»«mi mathsize=¨14px¨»f«/mi»«mo mathsize=¨14px¨»(«/mo»«mi mathsize=¨14px¨»x«/mi»«mo mathsize=¨14px¨»)«/mo»«mo mathsize=¨14px¨»=«/mo»«mo mathsize=¨14px¨»#«/mo»«mi mathsize=¨14px¨»f«/mi»«mn mathsize=¨14px¨»2«/mn»«mo mathsize=¨14px¨»§#160;«/mo»«/math».

Erantzuna:

Azalera (Area): {#1} u²

]]> 1.0000000 0.3333333 0 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f1</mi><mo>=</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f2</mi><mo>=</mo><msqrt><mrow><mn>4</mn><mi>x</mi></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mroot><mn>4</mn><mn>3</mn></mroot></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mo>-</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mfenced><mrow><mi>f1</mi><mo>-</mo><mi>f2</mi></mrow></mfenced><mo>ⅆ</mo><mi>x</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mn>4</mn><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="casSession"/></localData></question> Integral-Mugagabea-1 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>11</mn><msup><mi>x</mi><mn>5</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>11</mn><mn>6</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>6</mn></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-10 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msqrt><mi>x</mi></msqrt><mo>+</mo><mfrac><mn>3</mn><mrow><mn>5</mn><msup><mi>x</mi><mn>4</mn></msup></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>*</mo><msqrt><mi>x</mi></msqrt></mrow><mn>3</mn></mfrac><mo>+</mo><mfrac><mrow><mn>5</mn><mo>*</mo><mi>k</mi><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>-</mo><mn>1</mn></mrow><mrow><mn>5</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-11 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>1</mn><msqrt><mi>x</mi></msqrt></mfrac><mo>+</mo><mfrac><mi>x</mi><mn>3</mn></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mfenced><mrow><mn>6</mn><mo>*</mo><mi>k</mi><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced><mo>*</mo><msqrt><mi>x</mi></msqrt><mo>+</mo><mn>12</mn><mo>*</mo><mi>x</mi></mrow><mrow><mn>6</mn><mo>*</mo><msqrt><mi>x</mi></msqrt></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-12 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><msup><mi>x</mi><mn>2</mn></msup><mroot><mi>x</mi><mn>3</mn></mroot></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>*</mo><msup><mroot><mi>x</mi><mn>3</mn></mroot><mn>2</mn></msup></mrow><mn>8</mn></mfrac><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mroot><mrow><mn>5</mn><msup><mi>x</mi><mn>2</mn></msup></mrow><mn>3</mn></mroot></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mo>*</mo><mroot><mn>5</mn><mn>3</mn></mroot><mo>*</mo><mi>x</mi><mo>*</mo><msup><mroot><mi>x</mi><mn>3</mn></mroot><mn>2</mn></msup></mrow><mn>5</mn></mfrac><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-1 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfenced><mn>3</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><msup><mfenced><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfenced><mn>4</mn></msup><mn>4</mn></mfrac><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>3</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mfrac><mn>27</mn><mn>2</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>27</mn><mo>*</mo><mi>x</mi><mo>+</mo><mfrac><mn>81</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-2 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mfenced><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mn>5</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mfrac><msup><mfenced><mrow><mn>2</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mn>6</mn></msup><mn>6</mn></mfrac><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>16</mn><mn>3</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>6</mn></msup><mo>+</mo><mn>16</mn><mo>*</mo><msup><mi>x</mi><mn>5</mn></msup><mo>+</mo><mn>20</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><mfrac><mn>40</mn><mn>3</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>5</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi><mo>+</mo><mfrac><mn>1</mn><mn>12</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-3 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>1</mn><msup><mfenced><mrow><mn>5</mn><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mn>2</mn></msup></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>25</mn><mo>*</mo><mi>k</mi><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn><mo>*</mo><mi>k</mi><mo>-</mo><mn>1</mn></mrow><mrow><mn>25</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-4 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>1</mn><msqrt><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msqrt></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mi>k</mi><mo>*</mo><msqrt><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msqrt><mo>+</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>+</mo><mn>4</mn></mrow><msqrt><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></msqrt></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-5 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msqrt><mrow><mn>3</mn><mi>x</mi><mo>-</mo><mn>5</mn></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mfrac><mrow><mn>2</mn><mo>*</mo><mi>x</mi></mrow><mn>3</mn></mfrac><mo>-</mo><mfrac><mn>10</mn><mn>9</mn></mfrac></mrow></mfenced><mo>*</mo><msqrt><mrow><mn>3</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>5</mn></mrow></msqrt><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-6 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>3</mn><mrow><mn>2</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mo>*</mo><mi>ln</mi><mfenced><mfenced close="|" open="|"><mrow><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow></mfenced></mfenced></mrow><mn>2</mn></mfrac><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-7 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mroot><mfrac><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow><mn>2</mn></mfrac><mn>3</mn></mroot></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mrow><mfrac><mrow><mn>3</mn><mo>*</mo><msup><mroot><mn>2</mn><mn>3</mn></mroot><mn>2</mn></msup><mo>*</mo><mi>x</mi></mrow><mn>8</mn></mfrac><mo>+</mo><mfrac><mrow><mn>9</mn><mo>*</mo><msup><mroot><mn>2</mn><mn>3</mn></mroot><mn>2</mn></msup></mrow><mn>8</mn></mfrac></mrow></mfenced><mo>*</mo><mroot><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow><mn>3</mn></mroot><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-2-8 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><msqrt><mrow><mi>x</mi><mo>+</mo><mn>5</mn></mrow></msqrt><mrow><mi>x</mi><mo>+</mo><mn>5</mn></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>2</mn><mo>*</mo><msqrt><mrow><mi>x</mi><mo>+</mo><mn>5</mn></mrow></msqrt><mo>+</mo><mi>k</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-3 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mrow><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>3</mn><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>7</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mi>x</mi><mo>+</mo><mn>3</mn></mrow><msup><mi>x</mi><mn>2</mn></msup></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn><mo>*</mo><mi>ln</mi><mfenced><mfenced close="|" open="|"><mi>x</mi></mfenced></mfenced><mo>+</mo><mfrac><mrow><mn>6</mn><mo>*</mo><mi>k</mi><mo>*</mo><mi>x</mi><mo>+</mo><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>-</mo><mn>9</mn><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>42</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>18</mn></mrow><mrow><mn>6</mn><mo>*</mo><mi>x</mi></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-4 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mrow><mn>5</mn><mi>x</mi><mo>-</mo><mn>1</mn></mrow><msqrt><mrow><mn>5</mn><mi>x</mi></mrow></msqrt></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>15</mn><mo>*</mo><mi>k</mi><mo>*</mo><msqrt><mi>x</mi></msqrt><mo>+</mo><mfenced><mrow><mn>10</mn><mo>*</mo><msqrt><mn>5</mn></msqrt><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mo>*</mo><msqrt><mn>5</mn></msqrt><mo>*</mo><mi>x</mi></mrow></mfenced></mrow><mrow><mn>15</mn><mo>*</mo><msqrt><mi>x</mi></msqrt></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-5 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>x</mi><mo>+</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>1</mn><mn>2</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mi>x</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-6 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>3</mn><mi>x</mi><mo>-</mo><msqrt><mn>3</mn></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>3</mn><mn>2</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><msqrt><mn>3</mn></msqrt><mo>*</mo><mi>x</mi></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-7 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mi>x</mi><mn>2</mn></mfrac><mo>+</mo><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>+</mo><mfrac><mn>1</mn><mn>3</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mfrac><mn>1</mn><mn>4</mn></mfrac><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-8 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mo>-</mo><mn>8</mn><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>-</mo><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>4</mn></msup><mo>+</mo><msup><mi>x</mi><mn>3</mn></msup></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugagabea-9 Ondorengo integral mugagabea kalkulatu (Calcula la siguiente integral indefinida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»§#8747;«/mo»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfrac><mn>1</mn><msup><mi>x</mi><mn>2</mn></msup></mfrac><mo>+</mo><mfrac><mn>1</mn><msup><mi>x</mi><mn>3</mn></msup></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r2</mi><mo>=</mo><mo>∫</mo><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><mi>r2</mi><mo>+</mo><mi>k</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>2</mn><mo>*</mo><mi>k</mi><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn><mo>*</mo><mi>x</mi><mo>-</mo><mn>1</mn></mrow><mrow><mn>2</mn><mo>*</mo><msup><mi>x</mi><mn>2</mn></msup></mrow></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_equations"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-3-1 Ondorengo integral mugatua kalkulatu (Calcula la siguiente integral definida) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msubsup»«mo»§#8747;«/mo»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/msubsup»«mfenced»«mrow»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«/mrow»«/mfenced»«mi»d«/mi»«mi»x«/mi»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfenced><mrow><mo>-</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>5</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>117</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-3-2 Ondorengo integral mugatua kalkulatu (Calcula la siguiente integral definida) :

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>2</mn><mi>x</mi><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>6</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>18</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-3-3 Ondorengo integral mugatua kalkulatu (Calcula la siguiente integral definida) :

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msup><mi>x</mi><mn>3</mn></msup><mo>+</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mn>0</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-3-4 Ondorengo integral mugatua kalkulatu (Calcula la siguiente integral definida) :

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><msqrt><mrow><mn>3</mn><mi>x</mi></mrow></msqrt></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>4</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>14</mn><mo>*</mo><msqrt><mn>3</mn></msqrt></mrow><mn>3</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-5-1 Kalkulatu ondorengo funtzioaren integrala adierazitako tartean (Calcula la integral de la siguiente función en el intervalo indicado) :

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»#«/mo»«mi»f«/mi»«mo»§#160;«/mo»«mi»f«/mi»«mi»u«/mi»«mi»n«/mi»«mi»t«/mi»«mi»z«/mi»«mi»i«/mi»«mi»o«/mi»«mi»a«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»f«/mi»«mi»u«/mi»«mi»n«/mi»«mi»c«/mi»«mi»i«/mi»«mi»§#243;«/mi»«mi»n«/mi»«mo»)«/mo»«mo»§#160;«/mo»«mo»§#160;«/mo»«mfenced open=¨[¨ close=¨]¨»«mrow»«mo»#«/mo»«mi»a«/mi»«mo»,«/mo»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfenced»«mo»§#160;«/mo»«mi»t«/mi»«mi»a«/mi»«mi»r«/mi»«mi»t«/mi»«mi»e«/mi»«mi»a«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mi»i«/mi»«mi»n«/mi»«mi»t«/mi»«mi»e«/mi»«mi»r«/mi»«mi»v«/mi»«mi»a«/mi»«mi»l«/mi»«mi»o«/mi»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mn>3</mn><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>6</mn><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>4</mn></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Integral-Mugatua-5-2 Kalkulatu ondorengo funtzioaren integrala adierazitako tartean (Calcula la integral de la siguiente función en el intervalo indicado) :

]]> 1.0000000 0.3333333 0 0 #r1 <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mo>*</mo><mfenced><mrow><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>2</mn></mrow></mfenced></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mn>2</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi><mo>=</mo><msubsup><mo>∫</mo><mi>a</mi><mi>b</mi></msubsup><mi>f</mi><mo>ⅆ</mo><mi>x</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r1</mi></math></input><output><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mfrac><mn>9</mn><mn>4</mn></mfrac></math></output></command></group><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#r1</correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">popupEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>