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

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

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

          2    2      2              x
-(x Sqrt[a  - x ]) + a  ArcTan[-------------]
                                     2    2
                               Sqrt[a  - x ]
---------------------------------------------
                      2
Time to compute: 0.05 second
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