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MathGroup Archive 1992

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Re: A definite Integral

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: Re: A definite Integral
  • From: jacobson at cello.hpl.hp.com
  • Date: Tue, 17 Mar 92 11:27:35 -0800

Joel Storch  <storch at draper.com> writes

> Consider the definite integral of: x^3/(Exp[x]-1) from 0 to infinity.
> The value is knownto be Pi^4/15. When trying to evaluate this integral
> in Mathematica, the application quits for no apparent reason. Macsyma
> gives the result: -Pi^4/15 plus terms involving Polylogarithms (with
> an unevaluated limit). I can't get Macsyma to "evaluate" the indicated
> limit.
> 
>  Joel Storch <storch at draper.com>

I had no problem with this integral in version Mathematica 2.0 for HP-UX:

In[1]:= Integrate[x^3/(Exp[x]-1),{x,0,Infinity}]

          4
        Pi
Out[1]= ---
        15

  -- David Jacobson






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