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[Mathematica 5.1] Bug Report - Two numerical values for a same variable

• To: mathgroup at smc.vnet.net
• Subject: [mg54117] [Mathematica 5.1] Bug Report - Two numerical values for a same variable
• From: Ling Li <ling at caltech.edu>
• Date: Fri, 11 Feb 2005 03:33:29 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

Mathematica v5.1 is much better than v5.0 on the accuracy of 
integration. I am not talking about numerical accuracy---v5.0 sometimes 
gives out two answers that are off by a constant for the same input.

However, I still get two different numerical values for a same variable 
in v5.1

a=Exp[Integrate[(Cos[w]-Exp[-w^2/2]*Cos[23/100*w])/w, {w, 0, Infinity}]]
N[a]
N[a,20]

Thanks for looking into this problem.
--Ling