Proof of Fourier Series Coeffecients

[podjackel]

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?

 

[R136a1]

Try to explicitely calculate

$$\int_0^\lambda A_n \cos(\frac{2\pi n}{\lambda}x)dx$$

 

[brmath]

Try to explicitely calculate

$$\int_0^\lambda A_n \cos(\frac{2\pi n}{\lambda}x)dx$$

This is good advice.

 

[podjackel]

Ahh, that whole scary monster is zero! Thanks for the advice. :)

 

[brmath]

Keep an eye on periodicity. It can save you a lot of work.