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MathGroup Archive 2003

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Something wrong with this integral (see text)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg44403] Something wrong with this integral (see text)
  • From: "Ihor Stealth" <stealth at gmx.net>
  • Date: Sat, 8 Nov 2003 04:50:47 -0500 (EST)
  • Organization: Eindhoven University of Technology, The Netherlands
  • Sender: owner-wri-mathgroup at wolfram.com

Hi All

I calculated two expressions:

FullSimplify[Integrate[(-L^2)/(L^2 + 1)*Cos[L], {L,0, Infinity}]]

and

FullSimplify[Integrate[(-1)/(L^2 + 1)*Cos[L], {L,0, Infinity}]]

They gave the same result, but in the first expression when we take
L->Infinity, it's impossible to take integral, but MAthematica CAN do that.

What the explanation of this?

Tnx for any help.

Ihor




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