JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The integral

\int\limits_ {\frac{\pi}{12}}^{\frac{\pi}{4}} \frac{8 \cos 2 x}{(\tan x+\cot x)^3} d x

equals :

View answer and explanation

Correct option: A

\frac{15}{128}

Option A (

\frac{15}{128}

) is correct because it is the value obtained after simplifying the integral using trigonometric identities and evaluating the definite integral.

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