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((-a^2 + x^2)^(5/2)*(2*a^2 + 5*x^2))/35


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



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

   2    2 5/2     2      2
(-a  + x )    (2 a  + 5 x )
---------------------------
            35

Time to compute: 0.02 second

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