For each function defined below, use the properties of the function and results from Lectures/Lectures Notes to prove that it is integrable: (i) f : [0, 10] → R, f(x) = 3x^2 + 5x + 9
(ii) g : [1, 100] → R, g(x) = ⌊x⌋ := max{n ∈ N : n ≤ x}