definite-integral

Question: $\int_{0}^{\pi /2}{{{\sin }^{2m}}x\,dx=}$

1) $\frac{2\,\,m\,\,!}{{{({{2}^{m}}.\,m\,\,!)}^{2}}}.\frac{\pi }{2}$

2) $\frac{(2m)\,\,!}{{{({{2}^{m}}.\,m\,\,!)}^{2}}}.\frac{\pi }{2}$

3) $\frac{2m\,\,!}{{{2}^{m}}.\,{{(m\,\,!)}^{2}}}.\frac{\pi }{2}$

4) None of these

Solution:

Explanation: No Explanation

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