JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of the integral

\int\limits_ {\frac{1}{n}}^{\frac{an-1}{n}} \frac{\sqrt{x}}{\sqrt{a-x}+\sqrt{x}} d x

View answer and explanation

Correct option: C

\frac{n a-2}{2 n}

Option C (

\frac{{n a-2}}{{2 n}}

) is correct because the integral can be solved using the property

\int_a^b f(x) dx = \int_a^b f(a+b-x) dx

and adding the two integrals.

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