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Integrate[x^2/(-a^2 + x^2)^(3/2), x] ==
-(x/Sqrt[-a^2 + x^2]) + Log[2*(x + Sqrt[-a^2 + x^2])]

                2
               x
Integrate[-------------, x] == 
             2    2 3/2
          (-a  + x )

        x                             2    2
-(--------------) + Log[2 (x + Sqrt[-a  + x ])]
         2    2
  Sqrt[-a  + x ]