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Integrate[x*(c^3 + x^3)^(-1 - n), x] ==
(x^2*(1 + x^3/c^3)^n*Hypergeometric2F1[2/3, 1 + n,
5/3, -(x^3/c^3)])/(2*c^3*(c^3 + x^3)^n)
3 3 -1 - n Integrate[x (c + x ) , x] ==
3 3
2 x n 2 5 x
x (1 + --) Hypergeometric2F1[-, 1 + n, -, -(--)]
3 3 3 3
c c
--------------------------------------------------
3 3 3 n
2 c (c + x )
Time to compute: 0.03 second
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