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MathGroup Archive 2002

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When does Integrate give incorrect results?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37460] When does Integrate give incorrect results?
  • From: strgh at mimosa.csv.warwick.ac.uk ()
  • Date: Thu, 31 Oct 2002 04:41:23 -0500 (EST)
  • Organization: University of Warwick, UK
  • Sender: owner-wri-mathgroup at wolfram.com

Is there any guide as to when Mathematica gives incorrect
results for an integral?  For example,

Integrate[ 1/(1 + x^2y^2), {x, 0, Infinity}, {y, 0, x} ]

returns 0.
I'm guessing Mathematica tries to expand the integrand
as partial fractions, but has difficulties with branch points
-- is that correct?


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