integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
-((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
Spread the word: