Hey so I have this problem



I know the formula for computing the coefficients but I'm not sure how I should be splitting up the integrals here. I know the length of the interval should be 2pi so would I end up having two integrals, one from -pi to 0 then another pi to 0 because it is a piecewise function?

Yes you will have to split up the integral into 2 parts.

for example to calculate your coefficient a0 it would look something like
a0 = 1/2π ∫(-π to π) f(x) dx = 1/2π [ ∫(-π to 0) π+x dx + ∫(0 to π) π-x f(x) dx]

edit: the π symbol is supposed to be pi

This post was edited by J0nn on Oct 16 2014 10:13pm