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Integration trouble

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37888] Integration trouble
  • From: "Jensen T.H. Li" <jensen at ust.hk>
  • Date: Sun, 17 Nov 2002 06:44:31 -0500 (EST)
  • Organization: Hong Kong University of Science and Technology
  • Sender: owner-wri-mathgroup at wolfram.com

Hi all,

I get into trouble in evaluating an integral in three different ways:

Integrate[Sin[y]/(y - 2 - I), {y, -Infinity, Infinity}] - 
    Integrate[Sin[y]/y, {y, -Infinity, Infinity}]//N
-3.62254 + 1.0509 I
Integrate[Sin[y](1/(y - 2 - I) - 1/y), {y, -Infinity, Infinity}]//N
-4.1035
Integrate[Sin[y](1/(y - 2 - I) - 1/y) // Factor, {y, -Infinity, Infinity}]//N
-2.44208 - 1.22104 I

The first one gives true answers. I don't know mathematica how to get
the second and third answer.
Please help.

Thx a lot.

Jensen Li



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