JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The integral

\int \frac{\sin ^2 x \cos ^2 x}{\left(\sin ^3 x+\cos ^3 x\right)^2} d x

is equal to:

View answer and explanation

Correct option: B

-\frac{1}{3\left(1+\tan ^3 x\right)}+c

Option B (

-\frac{1}{3(1+\tan ^3 x)}+c

) is correct because the integral simplifies to this expression after substitution and integration.

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