The value of $\mathop \smallint \nolimits_0^1 \,\,\frac{{dx}}{{x\,\, + \,\,\sqrt {1\,\, - \,\,{x^2}} }}$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of

\int \nolimits_0^1 \,\,\frac{{dx}}{{x\,\, + \,\,\sqrt {1\,\, - \,\,{x^2}} }}

View answer and explanation

Correct option: D

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

Option D (

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

) is correct because the integral is solved using a trigonometric substitution, and the result is

\frac{\pi}{4}

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