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MathGroup Archive 1998

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FresnelS & FresnelC

  • To: mathgroup at smc.vnet.net
  • Subject: [mg13809] FresnelS & FresnelC
  • From: "Steven T. Hatton" <hattons at cpkwebser5.ncr.disa.mil>
  • Date: Fri, 28 Aug 1998 04:18:29 -0400
  • Organization: EarthLink Network, Inc.
  • Sender: owner-wri-mathgroup at wolfram.com

I copied directly from *Mathematica By Example* in PDF format, pg 220,
Revised First Ed..   I do not get the same result as the author.  Does
any body else get ~pi ?  I get 1.24012 for the numerical result, and
the same thing the book says for the symbolic result.

IN[ ]= value=Integrate[Cos[x^2-y^2],{x,0,Sqrt[Pi]},{y,0,Sqrt[Pi]}]

OUT [ ]=  (Pi (FresnelC[Sqrt[2]]^2 +  FresnelS[Sqrt[2]]^2 )) / 2

IN[ ]= N[value]

OUT[ ]= 3.14159

TIA

Steve

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