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JEE Advance - Mathematics (1983 - No. 14)

The value of the integral $$\int\limits_0^{\pi /2} {{{\sqrt {\cot x} } \over {\sqrt {\cot x} + \sqrt {\tan x} }}dx} $$ is
$$\pi /4$$
$$\pi /2$$
$$\pi $$
none of these

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