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Integrate Problem

• To: mathgroup at smc.vnet.net
• Subject: [mg40502] Integrate Problem
• From: Stewart Mandell <stewart at rentec.com>
• Date: Tue, 8 Apr 2003 03:05:18 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

When I run

Integrate[1/Pi^2  1/(1 + x^2 + y^2 + z^2)^2, {z, -Infinity, Infinity},
  Assumptions -> {Im[x] == 0, Im[y] == 0, Im[z] == 0}]

I get
(I*(Log[-(I/Sqrt[1 + x^2 + y^2])] -
    Log[I/Sqrt[1 + x^2 + y^2]]))/
  (2*Pi^2*(1 + x^2 + y^2)^(3/2))

I would like

1/(2*Pi ) 1/(1 + x^2 + y^2)^3/2

for an answer. How do I get Mathematica to forego the complex
answer?

thanks, Stewart

• Follow-Ups:
  • Re: Integrate Problem
    • From: Dr Bob <majort@cox-internet.com>