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

JEE MATHEMATICS MCQ: DEFINITE 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{\mathrm{\pi }}{2} - 1

Option B (

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

) is correct because the integral is solved by simplifying the expression and using trigonometric substitution.

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