JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

The value of

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

, is

View answer and explanation

Correct option: B

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

Option B (

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

) is correct because by dividing by

\cos^6 x

and using substitution, the integral simplifies to a form that can be easily integrated.

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