(a) Set up an integral for the area of the surface obtained by rotating the curve about (i) the -axis and (ii) the -axis.
(b) Use the numerical integration capability of your calculator to evaluate the surface areas correct to four decimal places.
1. y = tan x, 0 ≤ x ≤ π/3
2. y = (e -x)2, - ≤ x ≤ 1