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.