JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The integral

\int\limits_{{\pi / 6}}^{\pi / 3} \tan ^3 x \cdot \sin ^2 3 x\left(2 \sec ^2 x \cdot \sin ^2 3 x+3 \tan x \cdot \sin 6 x\right) d x

is equal to

View answer and explanation

Correct option: D

-\frac{1}{18}

Option D (-

\frac{{1}}{{18}}

) is correct because the integral simplifies to the derivative of a product, which can be easily evaluated at the limits of integration.

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