(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The odd periodic function f(x) is defined by

f(x) = -4-x for -4 <= x <= 0 and 4-x for 0 <= x <= 4

f(x + 8) = f(x)

Sketch f(x) for -12 <= x <= 8

Find the coefficients in the Fourier series for the function defined by equation (1) and write out the series, explicitly giving the first three non zero terms in the series

2. Relevant equations

bn = 1/L integral of f(x)sin (npix / L) dx with limits from L to -L

3. The attempt at a solution

So do I do like this

bn = 1/4* integral of (-4-x) sin (npix/4) with limits from 4 to -4 plus 1/4*integral of 4-xsin(npix/4) with limits from 4 to -4?

Then i use integration by parts to solve the integrals?

Or is there an easier way like for an even Fourier series if you have L as 2 and -2, u can have the limits of the integral as 2 and 0?

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# Find the coefficients in the Fourier series

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