Mathematical Methods for Physics and Engineering : A Comprehensive Guide

COMPLEX NUMBERS AND HYPERBOLIC FUNCTIONS

3.27 Show thatds=(coshx/a)dx;
curved surface area =πa^2 [8 sinh(b/a)−sinh(2b/a)]− 2 πab.
flat ends area = 2πa^2 [4−4cosh(b/a)+cosh^2 (b/a)].