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-((m*ArcTan[(Sqrt[b]*x)/Sqrt[a - t]])/(Sqrt[b]*Sqrt[a - t]))

Integrate[(m*x)/((t - a)*x - b*x^3), x] ==
-((m*ArcTan[(Sqrt[b]*x)/Sqrt[a - t]])/ (Sqrt[b]*Sqrt[a - t]))

                m x
Integrate[----------------, x] == 
                         3
          (t - a) x - b x

            Sqrt[b] x
  m ArcTan[-----------]
           Sqrt[a - t]
-(---------------------)
   Sqrt[b] Sqrt[a - t]
Time to compute: 0.02 second
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