JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \tan ^{-1}\left(\sqrt{\frac{1-x}{1+x}}\right) d x

can be evaluated by the subsititution

View answer and explanation

Correct option: B

x=\cos \theta

Option B (

x=\cos \theta

) is correct because the substitution

x = \cos \theta

simplifies the expression inside the inverse tangent to

\tan \frac{\theta}{2}

, making the integral easier to evaluate.

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