MCQ
$\int_{\,0}^{\,\pi } {\log {{\sin }^2}x\,dx = } $
- ✓$2\pi {\log _e}\left( {\frac{1}{2}} \right)$
- B$\pi {\log _e}2 + c$
- C$\frac{\pi }{2}{\log _e}\left( {\frac{1}{2}} \right) + c$
- Dએકપણ નહીં.
$ = 4 \times \left( { - \frac{\pi }{2}\log 2} \right) = - 2\pi {\log _e}2 = 2\pi {\log _e}\left( {\frac{1}{2}} \right)$.
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