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A Tricky Integral!!

Calculus

$\int _{ 0 }^{ { \pi } / { 2 } }{ \dfrac { \sqrt { \cot{x} } }{ \sqrt{\cot{x}}+ \sqrt{\tan{x}}}} \, dx = \, ?$

0

\frac{\pi}{4}

1

\frac{\pi}{2}

\pi

The integral diverges.

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by Rajdeep Dhingra

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