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Definite integration error in MMA 3.0

  • To: mathgroup at smc.vnet.net
  • Subject: [mg8831] Definite integration error in MMA 3.0
  • From: luca ciotti <ciotti at boas5.bo.astro.it>
  • Date: Mon, 29 Sep 1997 02:39:56 -0400
  • Organization: Osservatorio Astronomico di Bologna
  • Sender: owner-wri-mathgroup at wolfram.com

Hello, 

I found a wrong result performing a symbolic definite integral with 
MMA3.0 running under Linux.

           A=Integrate[1/Sqrt[1+t+t^4], {t,0,Infinity}]

As espected A is expressed in terms of elliptic integrals, but 
when evaluated 

                 N[A,40]=-2.2405.......

that is obviously wrong.

NIntegrate produces A=1.66159.....


It is this a known problem? 

ciotti luca
osservatorio astronomico di bologna
via zamboni 33
40126 bologna (italy)


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