JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +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 an arbitrary constant.

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 after substitution and simplification, the integral evaluates to the given expression.

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