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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 9,408 of 10,432   
   Andreas Dieckmann to All   
   Re: Integrate[ArcTanh[t] Log[t]/(t - 1),   
   25 Apr 17 06:55:14   
   
   ace21a92   
   From: adieckmann@aol.com   
      
   With arctan in the kernel one can try differentiation under the integral sign.   
   Replace arctanh(t) with arctanh(a*t) , then differentiate with respect to a,   
   calculate  (if possible) the integral. Now find the antiderivative with   
   respect to a and set a to 1. Here the result after the integral over a is an   
   ensemble of logs and    
   polylogs of order 2 and 3. Look for the limit for a -> 1   
      
   Thats it.   
      
   Andreas   
      
   --- SoupGate-Win32 v1.05   
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