\[\int_{0}^{\pi /2}{{{\sin }^{2m}}x\,dx=}\]

1.	\[\int_{0}^{\pi /2}{{{\sin }^{2m}}x\,dx=}\]
A.	\[\frac{2\,\,m\,\,!}{{{({{2}^{m}}.\,m\,\,!)}^{2}}}.\frac{\pi }{2}\]
B.	\[\frac{(2m)\,\,!}{{{({{2}^{m}}.\,m\,\,!)}^{2}}}.\frac{\pi }{2}\]
C.	\[\frac{2m\,\,!}{{{2}^{m}}.\,{{(m\,\,!)}^{2}}}.\frac{\pi }{2}\]
D.	None of these
Answer» C. \[\frac{2m\,\,!}{{{2}^{m}}.\,{{(m\,\,!)}^{2}}}.\frac{\pi }{2}\]

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\[\int_{0}^{\pi /2}{{{\sin }^{2m}}x\,dx=}\]

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