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. > > Sent via Deja.com http://www.deja.com/ Before you buy.