Volumes/Area Help Please? Rotate the region between y=(5/2)-x and y=1/x about the x-axis. Describe the cross sections perpendicular to the x-axis at x and find the volume of rotation.

I did this and got 9/8 pi as my answer. Is it correct?

You first find where the line and curve crosss.
This is at x = 1/2 and 2 so these are the limits of integration.
Using the formula pi*INT(1/2,2) y^2*dx for each volume and then subtracting them I also get 9*pi/8.