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Problem with Integrate

  • To: mathgroup at smc.vnet.net
  • Subject: [mg25974] Problem with Integrate
  • From: hans.steffani at e-technik.tu-chemnitz.de (Hans Friedrich Steffani)
  • Date: Tue, 14 Nov 2000 03:47:07 -0500 (EST)
  • Organization: Chemnitz University of Technology
  • Sender: owner-wri-mathgroup at wolfram.com

z Cos[t]/Sqrt[1 + x^2 + y^2 + z^2 - 2x Cos[t] - 2y Sin[t]]
Integrate[%, {t, 0, 2 Pi}]

produces 0 which is not what I expect.

z Cos[t]/Sqrt[1 + x^2 + y^2 + z^2 - 2x Cos[t] - 2y Sin[t]] /. y -> 0
Integrate[%, {t, 0, 2 Pi}] // Simplify

delivers a nonzero result using Elliptic functions.  This means that
the first result is wrong?

n[20]:=
$Version

Out[20]=
"4.0 for Linux (July 22, 1999)"

An example file (nb, ps) kann be found at
http://www.tu-chemnitz.de/~hfst/mathematica/integrationprob/

Thanks for help
Hans Friedrich Steffani

-- 
Hans Friedrich Steffani
Institut fuer Elektrische Maschinen und Antriebe, TU Chemnitz
mailto:hans.steffani at e-technik.tu-chemnitz.de
http://www.tu-chemnitz.de/~hfst/


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