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

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
An image showing the results of your requested integral.

Integrate[(Log[x]*Log[1 + x]^2)/(1 + x), x] ==
(-(Log[-x]*Log[1 + x]^3) + Log[x]*Log[1 + x]^3 - 3*Log[1 + x]^2*PolyLog[2, 1 + x] + 6*Log[1 + x]*PolyLog[3, 1 + x] - 6*PolyLog[4, 1 + x])/3 

                           2
          Log[x] Log[1 + x]
Integrate[------------------, x] == 
                1 + x

                     3                     3
(-(Log[-x] Log[1 + x] ) + Log[x] Log[1 + x]  - 
 
                2
    3 Log[1 + x]  PolyLog[2, 1 + x] + 
 
    6 Log[1 + x] PolyLog[3, 1 + x] - 
 
    6 PolyLog[4, 1 + x]) / 3
Time to compute: 0.03 second
Spread the word: