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Integrate[(-c^2 + x^2)^(-n), x] ==
(x*(1 - x^2/c^2)^n*Hypergeometric2F1[1/2, n, 3/2,
x^2/c^2])/(-c^2 + x^2)^n
2 2 -n Integrate[(-c + x ) , x] ==
2 2
x n 1 3 x
x (1 - --) Hypergeometric2F1[-, n, -, --]
2 2 2 2
c c
------------------------------------------
2 2 n
(-c + x )
Time to compute: 0.17 second
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