integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
(x*(1 - x^2/c^2)^n*Hypergeometric2F1[1/2, n, 3/2, x^2/c^2])/(c^2 - x^2)^n

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: 0.02 second
Spread the word: