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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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