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ArcTan[(Sqrt[b]*x^2)/Sqrt[a]]/(2*Sqrt[a]*Sqrt[b])


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



             x
Integrate[--------, x] == 
                 4
          a + b x

                2
       Sqrt[b] x
ArcTan[----------]
        Sqrt[a]
------------------
2 Sqrt[a] Sqrt[b]

Time to compute: 0.02 second

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