The value of integral $\mathop \smallint \nolimits_0^1 \,\sqrt {\frac{{1\,\, - \,\,x}}{{1\,\, + \,\,x}}} \;\,dx$ is

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

The value of integral

\int \nolimits_0^1 \,\sqrt {\frac{{1\,\, - \,\,x}}{{1\,\, + \,\,x}}} \;\,dx

View answer and explanation

Correct option: B

\frac{\pi }{2}\,\, - \,\,1

Option B (

\frac{\pi }{2}\\ - \\1

) is correct because the integral can be solved by rationalizing the denominator and then using trigonometric substitution or direct integration.

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