सिद्ध कीजिए कि \( \int_{0}^{\pi / 2} \frac{\sqrt{\tan x}}{\sqrt{\tan x}+\sqrt{\cot x}} d x=\frac...

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सिद्ध कीजिए कि \( \int_{0}^{\pi / 2} \frac{\sqrt{\tan x}}{\sqrt{\tan x}+\sqrt{\cot x}} d x=\frac{\pi}{4} \).
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