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(a*x*Log[x] - (b + a*x)*Log[b + a*x])/(a*b*(b + a*x))


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



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

a x Log[x] - (b + a x) Log[b + a x]
-----------------------------------
           a b (b + a x)

Time to compute: 0.03 second

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