(2π)−1 ∫ 2π 0

We want to numerically approximate coefficients in a Fourier series. The first step is to see how the trapezoidal rule applies when numerically computing the integral (2π)−1 ∫ 2π 0 F (t)dt, where F (t) is a continuous, 2π-periodic func-tion. Applying the trapezoidal rule with the stepsize taken to be h = 2π/n for some integer n ≥ 1 results i