- #1
struggles
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Homework Statement
The odd 2π-periodic function f(x) is defined by
f(x) = x2 π > x > 0
-x2 −π<x<0
Find the coefficient bn in the Fourier series
f(x) = a0/2 + ∑(an cos(nx) + bn sin(nx)).
What are the values of the coefficients a0 and an and why?
Homework Equations
bn = 1/π ∫ f(x)sin(nx)
an = 1/π ∫f(x)cos(nx)
The Attempt at a Solution
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I'm unsure what to do as the function changes so you cannot integrate between pi and -pi like you would normally. Also as the function is even would bn = 0?