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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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