A) \[\frac{105\,\pi }{32(4!)}\]
B) \[\frac{105\,\pi }{14\,(4!)}\]
C) \[\frac{105\,}{16\pi \,(4!)}\]
D) None of these
Correct Answer: A
Solution :
Let \[I=\int_{0}^{\pi /2}{{{\sin }^{8}}x\,dx}\] Using gamma function \[=\frac{7.5.3.1}{8.6.4.2}.\,\frac{\pi }{2}\] \[=\frac{105\,\pi }{32(4.3.2.1)}\] \[=\frac{105\pi }{32.4!}\]You need to login to perform this action.
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