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Re: How to help Mathematica take an integral

  • To: mathgroup at
  • Subject: [mg81886] Re: [mg81866] How to help Mathematica take an integral
  • From: Murray Eisenberg <murray at>
  • Date: Sat, 6 Oct 2007 04:31:06 -0400 (EDT)
  • Organization: Mathematics & Statistics, Univ. of Mass./Amherst
  • References: <>
  • Reply-to: murray at

The indefinite integrals of Erf[Log[x]] are not elementary, so the real 
question is what kind of result would you like?

Here's one work-around that makes use of the Fundamental Theorem of 

   g[x_] = Integrate[Erf[Log[t]],{t,0,x}]]
   g[x] // InputFor
x*Erf[Log[x]] - E^(1/4)*Erfc[1/2 - Log[x]]

Given that, of course, Erf itself (and hence its "complement" Erfc) is 
defined in terms of integrals, does this do any good?

Aaron Fude wrote:
> Hi,
> I would like to evaluate the indefinite integral of Erf[Log[x]].
> Mathematica seems to be able to do any definite integral, but not the
> indefinite version. Is there anything I can do to help Mathematica
> along?
> Many thanks in advance,
> Aaron Fude

Murray Eisenberg                     murray at
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305

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