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Integrate UnitStep, Bug?
- To: mathgroup at smc.vnet.net
- Subject: [mg50303] Integrate UnitStep, Bug?
- From: jens at fika.de
- Date: Thu, 26 Aug 2004 06:50:47 -0400 (EDT)
- Organization: Delft University of Technology
- Sender: owner-wri-mathgroup at wolfram.com
The following code returns the incorrect result (-a+b) UnitStep[a-b]. It
should be Min[a,b].
fr[e_]=UnitStep[-e];
fl[e_]=UnitStep[-(e-b)];
Integrate[fl[e](fr[e-a]-fr[e]),{e,-Infinity,Infinity},Assumptions->{b>0,a>0}]
Is this a known bug? Should I avoid using step functions with Integrate?
Any comments appreciated.
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