JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int(\sin x)^{-11 / 3}(\cos x)^{-1 / 3} d x=-\frac{3\left(1+4 \tan ^2 x\right)}{8 H(x)}+c

, where

H(x)

View answer and explanation

Correct option: D

(\tan x)^{\operatorname{8/3}}

Option D ((

\tan x)^{8/3}

) is correct because by rewriting the integral in terms of

\tan x

and then substituting, we can find the expression for H(x).

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