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Question

Mathematics Question on Trigonometric Identities

0πxtanxsecx.cosecx dx=\int\limits^{\pi}_{0}\frac{x\tan x}{\sec x.\cosec x}\ dx=

A

π2\frac{\pi}{2}

B

π4\frac{\pi}{4}

C

π22\frac{\pi^2}{2}

D

π24\frac{\pi^2}{4}

Answer

π24\frac{\pi^2}{4}

Explanation

Solution

The correct answer is (D) : π24\frac{\pi^2}{4}.