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(-a^2 + x^2)^(3/2)/3

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

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

   2    2 3/2
(-a  + x )
-------------
      3
Time to compute: < 0.01 second
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