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