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-((a*(x^(-1) + b/(a + b*x)) + 2*b*Log[x] - 2*b*Log[a + b*x])/a^3)


Integrate[1/(x^2*(a + b*x)^2), x] ==
-((a*(x^(-1) + b/(a + b*x)) + 2*b*Log[x] - 2*b*Log[a + b*x])/a^3)



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

     1      b
  a (- + -------) + 2 b Log[x] - 2 b Log[a + b x]
     x   a + b x
-(-----------------------------------------------)
                         3
                        a

Time to compute: 0.08 second

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