The value of the integral \( \int_{0}^{\pi / 2} \frac{\sqrt{\cot x}...

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The value of the integral \( \int_{0}^{\pi / 2} \frac{\sqrt{\cot x}}{\sqrt{\cot x}+\sqrt{\tan x}} d x \) is
(a) \( \pi / 4 \)
(b) \( \pi / 2 \)
(1983, 1M)
P
(c) \( \pi \)
(d) None of these
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