(d) Show that the product of either two odd or two even functions is always even (e) Prove that the product of an odd by an even function is an odd function (f) Prove that if ffx) is an even function, then f(x) dx = 2 f(x) dx and that if g(x) is an odd function, then g(x) dx = 0 for all α such that 0 α 00,