A) $ \frac{8}{15} $
B) $ \frac{4}{15} $
C) $ \frac{8\sqrt{\pi }}{15} $
D) $ \frac{8\pi }{15} $
Correct Answer: A
$ \int_0^{\pi /2}{{{\sin }^{5}}xdx=\frac{\Gamma (3).\Gamma (1/2)}{2.\Gamma (7/2)}=\frac{8}{15}} $ .
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