1. The problem statement, all variables and given/known data 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? 2. Relevant equations bn = 1/π ∫ f(x)sin(nx) an = 1/π ∫f(x)cos(nx) 3. The attempt at a solution 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?