What are the limits of a Fourier integral?

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Homework Help Overview

The discussion revolves around understanding the limits of a Fourier integral, particularly in the context of a function that is defined to be zero for non-positive values. Participants are exploring how this affects the limits of integration.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the limits of integration based on the behavior of the function, specifically questioning the implications of the function being zero for x ≤ 0.

Discussion Status

There is an ongoing exploration of the limits, with some participants suggesting that the lower limit should be 0 and questioning the upper limit. Clarifications about the signs of the limits are being discussed, indicating a productive dialogue without a clear consensus yet.

Contextual Notes

Participants are reminded to include their attempts in the discussion to avoid deletion of the thread, indicating a rule in place for homework help submissions.

Studious_stud
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Homework Statement


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The Attempt at a Solution



When I do the integral of this function I'm unsure of what the limits are. Anyone care to help? Thanks
 
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Please include an attempt or this thread will be deleted.
 
micromass said:
Please include an attempt or this thread will be deleted.

Sure thing, just forgot to include it.
211ts9c.jpg

I'd use latex but it's just quicker this way...
 
Well f(x)=0 for x\leq 0, so the part of the integral from -\infty to 0 vanishes, right??

So that would leave us with?
 
micromass said:
Well f(x)=0 for x\leq 0, so the part of the integral from -\infty to 0 vanishes, right??

So that would leave us with?

Oh I get ya, so the lower limit is 0 and the upper limit is -\infty?
 
Studious_stud said:
Oh I get ya, so the lower limit is 0 and the upper limit is -\infty?

I guess you mean + for the upper limit, but yeah.
 
Studious_stud said:
Oh I get ya, so the lower limit is 0 and the upper limit is -\infty?

Sorry for the double post here, I mean the upper limit is \infty
 

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