JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \tan x \sec ^2 x \sqrt{1-\tan ^2 x} d x=

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Correct option: A

-\frac{1}{3}\left(1-\tan ^2 x\right)^{3 / 2}+c

Option A (

-\frac{1}{3}\left(1-\tan ^2 x\right)^{3 / 2}+c

) is correct because the integral simplifies to this form after substitution.

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