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(-a^2 + x^2)^(5/2)/5

Integrate[x*(-a^2 + x^2)^(3/2), x] ==
(-a^2 + x^2)^(5/2)/5 

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

   2    2 5/2
(-a  + x )
-------------
      5
Time to compute: 0.02 second
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