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MathGroup Archive 2007

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Re: How to help Mathematica take an integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg81885] Re: How to help Mathematica take an integral
  • From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
  • Date: Sat, 6 Oct 2007 04:30:35 -0400 (EDT)
  • Organization: The Open University, Milton Keynes, UK
  • References: <fe4udu$12q$1@smc.vnet.net>

Aaron Fude wrote:

> 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?

What about the following?

In[1]:= int = Integrate[Erf[Log[t]], {t, 0, x}]

Out[1]= x Erf[Log[x]] - \[ExponentialE]^(1/4) Erfc[1/2 - Log[x]]

In[2]:= FullSimplify[D[int, x], Assumptions -> x > 0]

Out[2]= Erf[Log[x]]

Regards,
-- 
Jean-Marc



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