\[\int_{\,0}^{\,\pi }{\log {{\sin }^{2}}x\,dx=}\] [MP PET 1997]

\[2\pi {{\log }_{e}}\left( \frac{1}{2} \right)\]

\[\frac{\pi }{2}{{\log }_{e}}\left( \frac{1}{2} \right)+c\]

\[\int_{\,0}^{\,\pi }{\log {{\sin }^{2}}x\,dx=}\] �

1.	\[\int_{\,0}^{\,\pi }{\log {{\sin }^{2}}x\,dx=}\] [MP PET 1997]
A.	\[2\pi {{\log }_{e}}\left( \frac{1}{2} \right)\]
B.	\[\pi {{\log }_{e}}2+c\]
C.	\[\frac{\pi }{2}{{\log }_{e}}\left( \frac{1}{2} \right)+c\]
D.	None of these
Answer» B. \[\pi {{\log }_{e}}2+c\]

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\[\int_{\,0}^{\,\pi }{\log {{\sin }^{2}}x\,dx=}\] [MP PET 1997]

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