Chapter 14.4, Problem 56ES

Use a CAS to graph the helicoid

$x=u\cos v,y=u\sin v,z=v$

for $0\le u\le 5\text{and}\text{0}\le v\le 4\pi$ (see the accompanying figure on the next page), and then use the numerical double integration operation of the CAS to approximate the sur- face area.