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

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

Integrate[Coth[x]^n, x] ==
(Coth[x]^(1 + n)*Hypergeometric2F1[1, (1 + n)/2, 1 + (1 + n)/2, Coth[x]^2])/(1 + n) 

                 n
Integrate[Coth[x] , x] == 

        1 + n                      1 + n      1 + n
(Coth[x]      Hypergeometric2F1[1, -----, 1 + -----, 
                                     2          2
 
            2
     Coth[x] ]) / (1 + n)
Time to compute: 0.07 second
Spread the word: