1.

\[\int_{0}^{\pi }{\frac{x\,\tan x}{\sec x+\cos x}}\,dx=\] [MNR 1985; BIT Ranchi 1986; UPSEAT 2002]

A.                 \[\frac{{{\pi }^{2}}}{4}\]
B.                 \[\frac{{{\pi }^{2}}}{2}\]
C.                 \[\frac{3{{\pi }^{2}}}{2}\]             
D.                 \[\frac{{{\pi }^{2}}}{3}\]
Answer» B.                 \[\frac{{{\pi }^{2}}}{2}\]


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