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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: [mg25615] Re: integral of Bessel function, bug in Mathematica 4.0
  • From: Yossi Lonke <jrl16 at po.cwru.edu>
  • Date: Mon, 16 Oct 2000 03:04:39 -0400 (EDT)
  • Organization: Dept. Mathematics, CWRU
  • References: <8s175p$ihq@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Works fine in Mathematica 3.0, though. (Tells
you the integral doesn't converge).

Yossi Lonke

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.

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