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

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

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

                 b x               b x
Log[a x] Log[1 - ---] + PolyLog[2, ---]
                  c                 c
---------------------------------------
                   b
Time to compute: 0.02 second
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