JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

The integral

\int {\frac{{3{x^{13}} + 2{x^{11}}}}{{{{\left( {2{x^4} + 3{x^2} + 1} \right)}^4}}}dx}

is equal to (where C is a constant of integration)

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because after dividing the numerator and denominator by

{x^{16}}

and substituting, the integral can be easily evaluated.

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