Let R be the region in the first quadrant bounded by y = x 2 , y = 6 +x, and the y-axis. Find integral expressions for each of the following. (DON'T EVALUATE these expressions)

A. The volume of the solid obtained by rotating R about the y-axis using the shell method.

B. The volume of the solid obtained by rotating R about the line x = 4 using the shell method.

C. The volume of the solid obtained by rotating R about the line x = 4 using the disk/washer method.