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(-a^2 + b^2*x^2)^(3/2)/(3*b^2)

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

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

   2    2  2 3/2
(-a  + b  x )
----------------
         2
      3 b
Time to compute: 0.01 second
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