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

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

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

      2    2
  -2 a  + x
--------------
       2    2
Sqrt[-a  + x ]
Time to compute: 0.02 second
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