JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int\limits_{2}^3 \frac{\sqrt{x}}{\sqrt{5-x}+\sqrt{x}} d x

View answer and explanation

Correct option: D

\frac{1}{2}

Option D (

\frac{1}{2}

) is correct because using the property

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

simplifies the integral to

\frac{1}{2}

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