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-((Log[a*x]*Log[1 - (b*x)/a] + PolyLog[2, (b*x)/a])/b)


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



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

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

Time to compute: 0.02 second

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