1.

\[\int_{0}^{\pi }{x\log \sin x}\,dx=\]

A.                 \[\frac{\pi }{2}\log \frac{1}{2}\]
B.                 \[\frac{{{\pi }^{2}}}{2}\log \frac{1}{2}\]
C.                 \[\pi \log \frac{1}{2}\]   
D.                 \[{{\pi }^{2}}\log \frac{1}{2}\]
Answer» C.                 \[\pi \log \frac{1}{2}\]   


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