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MathGroup Archive 2004

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How to find out the transformation used in Mathematica

  • To: mathgroup at smc.vnet.net
  • Subject: [mg51456] How to find out the transformation used in Mathematica
  • From: Ann Lee <kan2 at rogers.com>
  • Date: Sun, 17 Oct 2004 21:49:46 -0400 (EDT)
  • Reply-to: kan2 at rogers.com
  • Sender: owner-wri-mathgroup at wolfram.com

Hi,

	I tried the following indefinite integral

Integrate[Exp[-x^2/2]/(4 + x^2), {x, -Infinity, Infinity}]

	Mathematica gave me 

Pi*e^2*Erfc[Sqrt[2]]

	which is very nice.  However, I don't know how Mathematica got
this answer and would like to find out what kind of transformation
that it uses to get this answer.  Is there anyway for us to ask
Mathematica to provide the transformation that it uses to arrive at
this answer.  Or alternatively, can anyone tell me how to get the
integral above?


Best,

Ann


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