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Re: Integration of piecewise function

• To: mathgroup at smc.vnet.net
• Subject: [mg52493] Re: Integration of piecewise function
• From: Peter Pein <petsie at arcor.de>
• Date: Mon, 29 Nov 2004 01:22:47 -0500 (EST)
• References: <cobqcr$6lr$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

Riccardo wrote:

> <inviati & spediti>
> 
> I just defined a function like this:
> 
> X[\[Omega]_] := 0 /; \[Omega] < 0;
> X[\[Omega]_] := 1 /; 0 < \[Omega] < 2;
> X[\[Omega]_] := -1 /; 2 < \[Omega] < 4;
> X[\[Omega]_] := 0 /; \[Omega] > 4;
> 
> Is it possible now to integrate it from -infinity to +infinity? I've
> already tried and it doesn't give me the result.
> Thanks.
> 
> Luca
> 
It's a bit tricky...


X[w_] := UnitStep[w, 2 - w] - UnitStep[w - 2, 4 - w]

-- 
Peter Pein
10245 Berlin