Consider the following. x = y + y3, 0 ≤ y ≤ 3 (a) Set up an integral for the area of the surface obtained by rotating the curve about the x-axis and the y-axis. (i) the x-axis S = 3 0 dy (ii) the y-axis S = 3 0 dy (b) Use the numerical integration capability of a calculator to evaluate the surface areas correct to four decimal places. (i) the x-axis (ii) the y-axis