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

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

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

     2    2
  2 a  + x
-------------
      2    2
Sqrt[a  + x ]
Time to compute: 0.02 second
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