NOTE: we are supposed to use the definition of the Area of a Surface of Revolution to solve this problem. I have attached this formula in a word document.
Given: y = -x^2 + 4x defined on the closed domain [0,4]
Revolve the graph about the x-axis. Find the area of the surface obtained.
The area of a surface of revolution is calculated using integrals. The solution is detailed and well presented.