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Question

Mathematics Question on Definite Integral

π6π311+cotxdx=\int\limits_\frac{\pi}{6}^\frac{\pi}{3}\frac{1}{1+\sqrt{cotx}}dx=

A

π12\frac{\pi}{12}

B

π212\frac{\pi^2}{12}

C

π6\frac{\pi}{6}

D

π2\frac{\pi}{2}

Answer

π12\frac{\pi}{12}

Explanation

Solution

The correct option is (A):π12\frac{\pi}{12}