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}]