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(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

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