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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: bennett at phys.unca.edu (Chuck Bennett)
  • Date: Thu, 19 Mar 92 09:34:43 EST

> 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 ...

I too had no problem with Mathematica 2.0 for Sun4:

\begin{mathematica}
Integrate[x^3/(Exp[x] - 1), {x, 0, Infinity}]




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