Calculate the surface area of the surface obtained when the region enclosed by the given curves is revolved about the $x$-axis $$y=2x^2-8$$ $$y=x^2-1$$
This is a model problem for an exam and I really don't know what to do. I don't have any idea what shape will I get when the given curves are revolved around the x-axis. Can somebody help me with this problem?
Can I consider these areas for the calculation