JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

The integral

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

is equal to

View answer and explanation

Correct option: C

-\frac{1}{18}

Option C (

-\frac{1}{18}

) is correct because the integral simplifies to a direct evaluation of a function after recognizing the product rule in reverse.

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