Make sure work is shown completely and correctly. Explain your reasoning and justify each step on each problem.

Consider the region bounded by the curve y = x* 4+ 2% the line = 1, and the x-axis. Find the volume of the solid that is formed when this region is revolved about the line x = 2 and express it as an integral. Draw pictures and show all steps. Do not solve the integral. 10 5 0\f\f1 = 2 TT - x3) da\f