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integration bug

  • To: mathgroup at smc.vnet.net
  • Subject: [mg63941] integration bug
  • From: cgordon at cfcp.uchicago.edu
  • Date: Tue, 24 Jan 2006 01:30:26 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Hi

I am using Mathematica 5.2 on windows xp.

When I try

(1/(2 * pi * (-1)^(1/2)))*
          Integrate[
            w/((w^2 - 2)*(w - z))*(-1)^(1/2)*w /. w -> Exp[(-1)^(1/
                  2)*theta], {theta, 0, 2*Pi}, Assumptions -> {Abs[z] < 1}]

I get a result of 0 when the correct result is
z/(-2+z^2)

If I change the assumptions to {z<1,z>-1} it gives the right result.

Is this a bug or am I missing something?

Chris


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