piecewise definition of a function

*To*: mathgroup at smc.vnet.net*Subject*: [mg43870] piecewise definition of a function*From*: Nathan Moore <nmoore at physics.umn.edu>*Date*: Thu, 9 Oct 2003 01:55:05 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

I'd like to define a function in a piecewise manner. As of yet I've been unsuccessful with even the simplest example. Consider the following: first define a 1-d bump, f[x_] = If[x < 0, 0,If[x > 1, 0, 1]] Mathematica doesn't seem to mind this, as f[0.1] evaluates 1 and f[-23] evaluates 0. The problem comes when I try to integrate the function. The following command which should evaluate to 1 doesn't work AT ALL! Integrate[f[x], {x, -50, 50}] What is the proper technique here? Nathan Moore University of Minnesota Physics

**Follow-Ups**:**Re: piecewise definition of a function***From:*Tomas Garza <tgarza01@prodigy.net.mx>

**Re: piecewise definition of a function***From:*"Peter Pein" <petsie@arcor.de>