JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The integral

\int \frac{2 x^{12}+5 x^9}{\left(x^5+x^3+1\right)^3} d x

is equal to (where

C

is a constant of integration)

View answer and explanation

Correct option: B

\frac{x^{10}}{2\left(x^5+x^3+1\right)^2}+C

Option B is correct because the integral simplifies to

\frac{x^{10}}{2\left(x^5+x^3+1\right)^2}+C

after dividing by

x^{15}

and using substitution.

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{C}

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