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MathGroup Archive 2000

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Re: integral of Bessel function, bug in Mathematica 4.0

  • To: mathgroup at smc.vnet.net
  • Subject: [mg25650] Re: integral of Bessel function, bug in Mathematica 4.0
  • From: Viorel Negoita <viorel at magnum.phyast.pitt.edu>
  • Date: Wed, 18 Oct 2000 02:52:24 -0400 (EDT)
  • Organization: University of Pittsburgh
  • References: <8s175p$ihq@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

On 11 Oct 2000, GS wrote:

> Here is a bug in Mathematica 4.0
> In[1]:=
> Integrate[BesselJ[1, x]^2 x, {x, 0, Infinity}]
> Out[1]=
> 0
> 
> The integral cannot be zero because the integrand is positive.
> Actually, this integral diverges, as is known, and can be checked
> by numerical integration
> 
> Gennady.
> 
> 

I get the right answer with Mathematica 4.0.2.0 on both Windows and Mac
OS.

-- 
Viorel



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