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

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

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

(a - x) (a + x)
----------------
       2    2 3
Sqrt[(a  - x ) ]
Time to compute: 0.05 second
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