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


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



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

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

Time to compute: 0.02 second

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