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(x/(1 + x^2) + 5*ArcTan[x])/2

Integrate[(3 + 2*x^2)/(1 + x^2)^2, x] ==
(x/(1 + x^2) + 5*ArcTan[x])/2 

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

  x
------ + 5 ArcTan[x]
     2
1 + x
--------------------
         2
Time to compute: 0.02 second
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