JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Analyzing +4 | -1

\int \nolimits_0^1 \,\,\sin \,\,\left( {2{{\tan }^{ - 1}}\,\sqrt {\frac{{1\,\, + \,\,x}}{{1\,\, - \,\,x}}} } \right)\;\,\,dx

is equal to

View answer and explanation

Correct option: B

\frac{\mathrm{\pi }}{4}

Option B (

\frac{\mathrm{\pi }}{4}

) is correct because after substituting

x = \cos 2\theta

, the integral simplifies and evaluates to

\frac{\mathrm{\pi }}{4}

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