JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \cos \left\{2 \tan ^{-1} \sqrt{\frac{1-x}{1+x}}\right\} d x

is equal to

View answer and explanation

Correct option: B

\frac{1}{2} x^2+k

Option B (

\frac{1}{2} x^2+k

) is correct because by substituting

x = \cos 2\theta

and simplifying the integral, we arrive at the given result.

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