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Re: Integration of piecewise function


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


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