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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: [mg25634] Re: integral of Bessel function, bug in Mathematica 4.0
  • From: Brian Higgins <bghiggins at ucdavis.edu>
  • Date: Mon, 16 Oct 2000 03:04:52 -0400 (EDT)
  • References: <8s175p$ihq@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Mathematica 4.0 on a Mac gives the correct answer:

Integrate::"idiv" :
  "Integral of x \!\(BesselJ[1, x]\^2\)""does not converge on {0,\!\( \
\*InterpretationBox[\(?\), DirectedInfinity[ 1]]\)}."

Brian



In article <8s175p$ihq at smc.vnet.net>,
  "GS" <stupakov at slac.stanford.edu> 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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