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(Sqrt[(a^2 - x^2)^3]*(-a^2 + x^2)*(2*a^2 + 5*x^2))/35

Integrate[x^3*Sqrt[(a^2 - x^2)^3], x] ==
(Sqrt[(a^2 - x^2)^3]*(-a^2 + x^2)*(2*a^2 + 5*x^2))/35 

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

       2    2 3     2    2      2      2
Sqrt[(a  - x ) ] (-a  + x ) (2 a  + 5 x )
-----------------------------------------
                   35
Time to compute: 0.07 second
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