Find the Fourier transforms of these functions: (a) f(t) = et cos(3t + )u(t) (b) g(t)

Find the Fourier transforms of these functions:
(a) f(t) = e−t cos(3t + π )u(t)
(b) g(t) = sin π t[u(t + 1) - u(t - 1)]
(c) h(t) = e−2t cos π tu(t - 1)
(d) p(t) = e−2t sin 4tu(-t)
(e) q(t) = 4 sgn(t - 2) + 3δ (t) - 2u(t - 2)