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Question Number 17525 by alex041103 last updated on 07/Jul/17

$$\mathrm{Evaluate}\underset{-1}{\stackrel{1}{\int }}{(1-x^2)}^{\frac{n}{2}}dx\mathrm{for}$$$$n\in \mathbb{Z}\cap [0;\mathrm{\infty })(\mathrm{i}.\mathrm{e}.0,1,2,...)\mathrm{and}:$$$$\mathbf{a})n\equiv 0\left(mod2\right)$$$$\mathit{b})n\equiv 1\left(mod2\right)$$

Commented by alex041103 last updated on 07/Jul/17

$$\mathrm{This}\mathrm{is}\mathrm{not}\mathrm{from}\mathrm{a}\mathrm{book}!$$

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