The integral $\smallint \frac{{3{{\rm{x}}^{13}} + 2{{\rm{x}}^{11}}}}{{{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^4}}}{\rm{dx\;}}$ is equal to (where C is a constant of integration)

Question

The integral $\smallint \frac{{3{{\rm{x}}^{13}} + 2{{\rm{x}}^{11}}}}{{{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^4}}}{\rm{dx\;}}$ is equal to (where C is a constant of integration)

TuteeHUB · Accepted Answer

${\rm{\;}}\frac{{{{\rm{x}}^4}}}{{{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^3}}} + {\rm{C}}$

TuteeHUB · Answer

$\frac{{{{\rm{x}}^4}}}{{6{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^3}}} + {\rm{C}}$

TuteeHUB · Answer

${\rm{\;}}\frac{{{{\rm{x}}^{12}}}}{{6{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^3}}} + {\rm{C}}$

TuteeHUB · Answer

${\rm{\;}}\frac{{{{\rm{x}}^{12}}}}{{{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^3}}} + {\rm{C}}$

1.	The integral \(\smallint \frac{{3{{\rm{x}}^{13}} + 2{{\rm{x}}^{11}}}}{{{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^4}}}{\rm{dx\;}}\) is equal to (where C is a constant of integration)
A.	\(\frac{{{{\rm{x}}^4}}}{{6{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^3}}} + {\rm{C}}\)
B.	\({\rm{\;}}\frac{{{{\rm{x}}^{12}}}}{{6{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^3}}} + {\rm{C}}\)
C.	\({\rm{\;}}\frac{{{{\rm{x}}^4}}}{{{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^3}}} + {\rm{C}}\)
D.	\({\rm{\;}}\frac{{{{\rm{x}}^{12}}}}{{{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^3}}} + {\rm{C}}\)
Answer» C. \({\rm{\;}}\frac{{{{\rm{x}}^4}}}{{{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^3}}} + {\rm{C}}\)

The integral \(\smallint \frac{{3{{\rm{x}}^{13}} + 2{{\rm{x}}^{11}}}}{{{{\left( {2{{\rm{x}}^4} + 3{{\rm{x}}^2} + 1} \right)}^4}}}{\rm{dx\;}}\) is equal to (where C is a constant of integration)

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