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(-4*ArcTan[(1 + 2*x)/Sqrt[3]])/Sqrt[3] + (10*Log[-1 + x])/3 - (5*Log[1 + x + x^2])/3

Integrate[(3*x + 7)/(x^3 - 1), x] ==
(-4*ArcTan[(1 + 2*x)/Sqrt[3]])/Sqrt[3] + (10*Log[-1 + x])/3 - (5*Log[1 + x + x^2])/3 

          3 x + 7
Integrate[-------, x] == 
           3
          x  - 1

          1 + 2 x
-4 ArcTan[-------]
          Sqrt[3]    10 Log[-1 + x]
------------------ + -------------- - 
     Sqrt[3]               3
 
                 2
  5 Log[1 + x + x ]
  -----------------
          3
Time to compute: 0.02 second
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