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MathGroup Archive 2004

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Re: Integration of piecewise function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg52481] Re: [mg52463] Integration of piecewise function
  • From: DrBob <drbob at bigfoot.com>
  • Date: Mon, 29 Nov 2004 01:22:28 -0500 (EST)
  • References: <200411280606.BAA06619@smc.vnet.net>
  • Reply-to: drbob at bigfoot.com
  • Sender: owner-wri-mathgroup at wolfram.com

ecks[x_] = UnitStep[x] - 2*UnitStep[x - 2] + UnitStep[x - 4];
Integrate[ecks[x], {x, -Infinity, Infinity}]
0

or (with version 5.1):

ecks[x_] = Piecewise[{{1, 0 < x < 2}, {-1, 2 < x < 4}}];
Integrate[ecks[x], {x, -Infinity, Infinity}]

0

Bobby

On Sun, 28 Nov 2004 01:06:46 -0500 (EST), Riccardo <ricky at nospam.it> 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
>
>
>
>



-- 
DrBob at bigfoot.com
www.eclecticdreams.net


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