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MathGroup Archive 2000

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integral of Bessel function, bug in Mathematica 4.0

  • To: mathgroup at smc.vnet.net
  • Subject: [mg25604] integral of Bessel function, bug in Mathematica 4.0
  • From: "GS" <stupakov at slac.stanford.edu>
  • Date: Wed, 11 Oct 2000 03:50:42 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

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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