The value of the integral $\mathop \smallint \nolimits_3^6 \,\,\frac{{\sqrt x }}{{\sqrt {9 - x} + \,\,\sqrt x }}\,\,dx$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of the integral

\int \nolimits_3^6 \,\,\frac{{\sqrt x }}{{\sqrt {9 - x} + \,\,\sqrt x }}\,\,dx

View answer and explanation

Correct option: A

\frac{3}{2}

Option A is correct because the integral evaluates to

\frac{3}{2}

after using the property of definite integrals.

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