$\mathop \smallint \nolimits_0^2 \,\,\sqrt {\frac{{2\,\, + \,\,x}}{{2\,\, - \,\,x}}} \,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

\int \nolimits_0^2 \,\,\sqrt {\frac{{2\,\, + \,\,x}}{{2\,\, - \,\,x}}} \,\,dx

is equal to

View answer and explanation

Correct option: A

\pi + 2

Option A is correct because after simplifying and using trigonometric substitution, the integral evaluates to π + 2.

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