1.

\[\int_{0}^{\pi /2}{x\cot x\,dx}\] equals                                                [RPET 1997]

A.                 \[-\frac{\pi }{2}\log 2\] 
B.                 \[\frac{\pi }{2}\log 2\]
C.                 \[\pi \log 2\]      
D.                 \[-\pi \log 2\]
Answer» C.                 \[\pi \log 2\]      


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