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((-a^2 + x^2)^(3/2)*(2*a^2 + 3*x^2))/15

Integrate[x^3*Sqrt[-a^2 + x^2], x] ==
((-a^2 + x^2)^(3/2)*(2*a^2 + 3*x^2))/15 

           3        2    2
Integrate[x  Sqrt[-a  + x ], x] == 

   2    2 3/2     2      2
(-a  + x )    (2 a  + 3 x )
---------------------------
            15
Time to compute: 0.02 second
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