Need help finding the fourier transform of xe^-x

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Discussion Overview

The discussion revolves around finding the Fourier transform of the function f(x) = xe^-x defined for -1 < x < 0, with f(x) = 0 otherwise. Participants explore the definition and approach to calculating the Fourier transform.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant requests assistance in calculating the Fourier transform of the specified function.
  • Another participant points out that the range of x initially provided is incomplete, prompting a clarification.
  • A subsequent post confirms the correct range of x as -1 < x < 0.
  • Another participant asks for the definition of the Fourier transform, indicating a need for foundational understanding.
  • A participant provides a link to a formula for the Fourier transform, suggesting that they need to find G(w) based on the given f(t).
  • A later reply suggests that one participant should attempt the problem independently, emphasizing the importance of personal engagement with the material.

Areas of Agreement / Disagreement

Participants generally agree on the need to clarify the function's range and the definition of the Fourier transform, but there is no consensus on the approach to solving the problem or the specific calculations involved.

Contextual Notes

There are limitations in the discussion regarding the completeness of the problem setup, particularly in the initial definition of the function and its range. The discussion also reflects varying levels of familiarity with the Fourier transform concept.

Megatron16
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Can anybody help in in finding the Fourier transform of f(x) = xe^-x where -1<x<0 and f(x)= 0 otherwise?
 
Last edited:
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The range of x is missing a lower limit.
 
Oh sorry, the range of x is -1 < x < 0.
 
What's the definition of the Fourier transform of a function f(x)?
 
SteamKing is trying to get you to try to do this problem yourself. He knows the definition of a Fourier transform, but we want to see how you would approach this problem.
 

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