3 ' 0 S S 1 1. [5] Let f(x) = LIX:2 3: 1

1. [5] Let f(x) = and let R be the region between the graph and the x-axis. Revolve R about the y-axis. a) Express the volume of the solid that is generated as a definite integral or integrals in which you will be integrating with respect to x. b) Express the volume of the solid that is generated as a definite integral or integrals in which you will be integrating with respect to y. c) Evaluate one of the two integrals to find the volume of the solid. 2. [4] Revolve the same region R about the line y = -1 and repeat parts (a) and (b) of problem 1.