JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_0^1 \,\,\frac{{x\,\,dx}}{{\left[ {x + \sqrt {1 - {x^2}} } \right]\,\,\sqrt {1 - {x^2}} }}

is equal to

View answer and explanation

Correct option: C

\mathrm{\pi }/4

Option C (

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

) is correct because after substituting

x = \sin \theta

and using properties of definite integrals, the integral simplifies to this value.

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