Compute the Fourier sine series, on the interval [0,1]. for the function
(c)m(x) = x-x³
(you are welcome to use Maple, WolframAlpha or some other computer algebra environment to evaluate the necessary integrals)
Graph the error that occurs when approximating each function by 10 terms of the Fourier sine series.
Also plot partial sums of the corresponding Fourier series for several (at least '2) different of terms N, discuss the behaviour at the boundaries,