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*Sqrt[-1 + x^2]*(33 - 26*x^2 + 8*x^4) - 15*Log[2*(x + Sqrt[-1 + x^2])])/48

Integrate[(-1 + x^2)^(5/2), x] ==
(x*Sqrt[-1 + x^2]*(33 - 26*x^2 + 8*x^4) - 15*Log[2*(x + Sqrt[-1 + x^2])])/48 

                 2 5/2
Integrate[(-1 + x )   , x] == 

              2            2      4
(x Sqrt[-1 + x ] (33 - 26 x  + 8 x ) - 
 
                             2
    15 Log[2 (x + Sqrt[-1 + x ])]) / 48
Time to compute: 0.04 second
Spread the word: