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Sqrt[-a^2 + x^2]*(-(a^2*x)/8 + x^3/4) - (a^4*Log[2*(x + Sqrt[-a^2 + x^2])])/8

Integrate[x^2*Sqrt[-a^2 + x^2], x] ==
Sqrt[-a^2 + x^2]*(-(a^2*x)/8 + x^3/4) - (a^4*Log[2*(x + Sqrt[-a^2 + x^2])])/8 

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

                   2       3
       2    2   -(a  x)   x
Sqrt[-a  + x ] (------- + --) - 
                   8      4
 
   4                   2    2
  a  Log[2 (x + Sqrt[-a  + x ])]
  ------------------------------
                8
Time to compute: 0.07 second
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