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MathGroup Archive 2004

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Re: Principal Value integral

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52411] Re: Principal Value integral
  • From: Carlo Teubner <AskMeAndIllTellYou. at example.com>
  • Date: Fri, 26 Nov 2004 01:04:44 -0500 (EST)
  • Organization: Oxford University, England
  • References: <co1fcm$smm$1@smc.vnet.net> <co4e0c$l94$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

That's highly strange. I'm using version 5.0.1 (student version) on Win 
XP SP2. I just tried it again on a fresh kernel, gives the same wrong 
result. Must be a bug peculiar to 5.0.1 then I guess... can anyone else 
confirm this?

Carlo

>>The following Principal Value integral does not appear to give the
>>correct result.
>>
>>Integrate[1/(x^3-1), {x, -Infinity, Infinity}, PrincipalValue->True]
>>
>>This gives I Pi / 3, which surely can't be right since the answer should
>>be real.
> 
> 
> Using version 5.0, the result is correct:  -Pi/Sqrt[3] .
> What version are you using?


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