Suppose R is the region bounded by y = f (x) and y = g(x) on the interval [a, b], where f(x) ≥ g(x).

a. Show that if R is revolved about the vertical line x = x₀, where x₀ < a, then by the shell method, the volume of the resulting solid is

b. How is this formula changed if x₀ > b?

Transcribed Image Text:

V = S^2m(x – xo)(f(x) – 8(x)) dx.