MathGroup Archive: August 2004 [00491]

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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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