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


Integrate[1/(a + b*x^2), x] ==
ArcTan[(Sqrt[b]*x)/Sqrt[a]]/(Sqrt[a]*Sqrt[b])



             1
Integrate[--------, x] == 
                 2
          a + b x

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

Time to compute: 0.01 second

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