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

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

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

a x Log[x] - (b + a x) Log[b + a x]
-----------------------------------
                b x
Time to compute: 0.01 second
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