Proof of Fourier Series Coeffecients

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Homework Help Overview

The discussion revolves around the proof of Fourier series coefficients, specifically focusing on the integral calculations involved in determining these coefficients.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the explicit calculation of integrals related to Fourier coefficients and question how to proceed from initial attempts. There is an exploration of periodicity and its implications for simplifying calculations.

Discussion Status

Some participants have offered advice on specific calculations, while others have acknowledged the usefulness of periodicity in the context of the problem. There is an ongoing exploration of the integral's properties without a clear consensus on the next steps.

Contextual Notes

Participants are working with a specific problem from a homework assignment, which may impose certain constraints or assumptions that are under discussion.

podjackel
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Homework Statement



#35 on this page


Homework Equations



Integral of a series can be assumed to be the sum of integrals

The Attempt at a Solution



Picture of Work

I am not sure where to proceed from here, advice?
 
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Try to explicitely calculate

[tex]\int_0^\lambda A_n \cos(\frac{2\pi n}{\lambda}x)dx[/tex]
 
R136a1 said:
Try to explicitely calculate

[tex]\int_0^\lambda A_n \cos(\frac{2\pi n}{\lambda}x)dx[/tex]

This is good advice.
 
Ahh, that whole scary monster is zero! Thanks for the advice. :)
 
Keep an eye on periodicity. It can save you a lot of work.
 

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