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MathGroup Archive 2005

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Re: Re: Numerical accuracy of Hypergeometric2F1

  • To: mathgroup at smc.vnet.net
  • Subject: [mg55795] Re: [mg55743] Re: Numerical accuracy of Hypergeometric2F1
  • From: DrBob <drbob at bigfoot.com>
  • Date: Wed, 6 Apr 2005 03:11:40 -0400 (EDT)
  • References: <d2qj7t$p0o$1@smc.vnet.net> <200504050721.DAA26989@smc.vnet.net>
  • Reply-to: drbob at bigfoot.com
  • Sender: owner-wri-mathgroup at wolfram.com

The result isn't negative in version 5.1.1:

Integrate[x^100/(x+2),{x,0,2}]

-950334333471499723789633616808264702205277137749053016850353071587328/\
1089380862964257455695840764614254743075 - 1267650600228229401496703205376 \
Log[2] + 1267650600228229401496703205376 Log[4]

6.306563320381821*^27

Bobby

On Tue, 5 Apr 2005 03:21:13 -0400 (EDT), janos <jtoth at helka.iif.hu> wrote:

> I wanted to calculate Integrate[x^100/(x+2),{x,0,2}] and even the sign
> of the result is just negatvie. The reason is the same as above: Mathematica
> calculates the integral symbolically, using a hypergeometric function,
> then (s)he is unable to numerically evaluate it.
> I got the good result if I used NIntegrate.
> Janos Toth
> Dept Math Anal
> Budapest Univ Technol Ecol.
>
>
>
>



-- 
DrBob at bigfoot.com


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