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ArcTan[x^2/Sqrt[3]]/(2*Sqrt[3])

Integrate[x/(3 + x^4), x] ==
ArcTan[x^2/Sqrt[3]]/(2*Sqrt[3]) 

            x
Integrate[------, x] == 
               4
          3 + x

          2
         x
ArcTan[-------]
       Sqrt[3]
---------------
   2 Sqrt[3]
Time to compute: 0.01 second
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