Given that 0 ≤ x ≤ L, find the Fourier sine series and Fourier cosine series for the following functions:
(a) f(x) = x
(b) f(x) = x²
(c) f(x) = eˣ
(d) f(x) = x³
(e) f(x) = sin x
(f) f(x) = cos x