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

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

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

     2    2             2    2
  (-a  + x ) (x - Sqrt[a  - x ] 
   
                    x
       ArcTan[-------------])
                    2    2
              Sqrt[a  - x ]
-(----------------------------------------------------
                           2    2 3
                    Sqrt[(a  - x ) ]
 
    )
Time to compute: 0.12 second
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