A problem I had recently on a test has been bothering me for quite some time now and would like to seek assistance for it. There were 3 questions that went along with it.

The problem goes:

Let R be the region enclosed by the graph of y = 2lnx and y = x/2, and the lines x = 2 and x = 8.

a) Find the area of R

b) Set up an integral expression, in terms of a single variable,for the volume of the solid generated when R is revolved about the x-axis.

c)Set up an integral expression, in terms of a single variable,for the volume of the solid generated when R is revolved about the line x = -1.

Any possible help regarding any of the 3 questions is greatly appreciated.