Re: Integrate vs Nintegrate for impulsive functions
- To: mathgroup at smc.vnet.net
- Subject: [mg61747] Re: Integrate vs Nintegrate for impulsive functions
- From: "antononcube" <antononcube at gmail.com>
- Date: Fri, 28 Oct 2005 03:25:25 -0400 (EDT)
- References: <djq672$jd9$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
I think NIntegrate results are correct.
Although the integrand gives complex values the integration is over the
real line.
So we can plot the real and imaginary parts of the integrand with
Plot[Re@h[x], {x, 0, 1}, PlotRange -> All]
Plot[Im@h[x], {x, 0, 1}, PlotRange -> All]
and look at
Re @ h[x] // ComplexExpand
Im @ h[x] // ComplexExpand
The plots and the expansions show functions that are not problematic to
integrate numerically (e.g. no singularities can be seen).
Anton Antonov,
Wolfram Research, Inc.