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(2*ArcTan[Sqrt[-a^2 + x^n]/a])/(a*n)


Integrate[1/(x*Sqrt[-a^2 + x^n]), x] ==
(2*ArcTan[Sqrt[-a^2 + x^n]/a])/(a*n)



                 1
Integrate[----------------, x] == 
                   2    n
          x Sqrt[-a  + x ]

                2    n
         Sqrt[-a  + x ]
2 ArcTan[--------------]
               a
------------------------
          a n

Time to compute: 0.02 second

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