A) \[\frac{8}{15}\]
B) \[\frac{4}{15}\]
C) \[\frac{8\sqrt{\pi }}{15}\]
D) \[\frac{8\pi }{15}\]
Correct Answer: A
Solution :
\[\int_{0}^{\pi /2}{{{\sin }^{5}}xdx=\frac{\Gamma (3).\Gamma (1/2)}{2.\Gamma (7/2)}=\frac{8}{15}}\].
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