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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 9,814 of 10,432    |
|    Nasser M. Abbasi to All    |
|    Need a Rubi rule for (x*exp(x))/(1-exp(-    |
|    19 Feb 18 11:26:02    |
      From: nma@12000.org              Rubi 4.14.6 can integrate               (x Exp[x])/(1 - Exp[x]) (1)              but not               (x Exp[x])/(1 - Exp[-x]) (2)              I was just wondering why that is. Could not figure what changes       in rules needed. Since the result are very similar (in terms       of PolyLog, which Rubi supprts). For example, for (1) it       gives              In[59]:= rubi = Int[(x Exp[x])/(1 - Exp[x]), x]       Out[59]= -x Log[1 - E^x] - PolyLog[2, E^x]              But for (2) it does not evaluate it. Mathematica gives for (2)              In[60]:= mma = Integrate[(x Exp[x])/(1 - Exp[-x]), x]       Out[60]= E^x (-1 + x) + x Log[1 - E^x] + PolyLog[2, E^x]              thanks       --Nasser              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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