A curve can also be specified in parametric form and then rotated about the x-axis. Consider C: {[t, cosh(t)], 0 t 1} rotated about the x-axis. It looks a bit like a stovepipe. Surface of revolution S Stovepipe In general, the surface area of a surface of revolution about the x-axis for a curve described in parametrically by [x(t), y(t)] for a tbis Hence the surface area of S is b dx 2 2 dt. ^- /= (B)'(3)' - dy + dt A = 2y(t) 2 dt Note: the Maple notation for is Pi. As =