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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.