Evaluate-1-1-1-x-2-n-2-dx-for-n-Z-0-i-e-0-1-2-and-a-n-0-mod-2-b-n-1-mod-2-

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

Evaluate \underset{- 1}{\int^{1}} {(1 - x^{2})}^{\frac{n}{2}} d x for

n \in Z \cap [0; \infty) (i . e . 0, 1, 2, \dots) and :

a) n \equiv 0 (m o d 2)

b) n \equiv 1 (m o d 2)

Commented by alex041103 last updated on 07/Jul/17

This is not from a book!