The value of the integral $\mathop \smallint \nolimits_{1/n}^{\left( {an - 1} \right)/n} \,\,\frac{{\sqrt x }}{{\sqrt {a - x} \,\, + \,\,\sqrt x }}\;\,\,dx$〗 is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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The value of the integral

\int \nolimits_{1/n}^{\left( {an - 1} \right)/n} \,\,\frac{{\sqrt x }}{{\sqrt {a - x} \,\, + \,\,\sqrt x }}\;\,\,dx

〗 is

View answer and explanation

Correct option: C

\frac{{na\,\, - \,\,2}}{{2n}}

Option C (

\frac{{na\, - \,2}}{{2n}}

) is correct because after applying the property of definite integrals and adding the two forms of the integral, the result simplifies to the given expression.

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