JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

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Application +4 | -1

\int \tan ^{-1} \sqrt{\frac{1-x}{1+x}} d x=

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Correct option: A

\frac{1}{2}\left(x \cos ^{-1} x-\sqrt{1-x^2}\right)+C

Option A (

\frac{1}{2}\left(x \cos ^{-1} x-\sqrt{1-x^2}\right)+C

) is correct because it is the result of integrating the given expression using trigonometric substitution and integration by parts.

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