"The region bounded by the given curves is rotated about the specified axis. Find the volume of the resulting solid by any method."
y=5, y=x+4/x; about x=-1
Upon plotting it I decided it would be best to use the shell method. I'm not sure how to express it in your fancy symbols but I included all of my work as an attachment.
The Attempt at a Solution
Please see attachment. The correct answer is actually 8pi(3-ln4). I have gone over it a few times and I don't see what I did wrong. Any advice whatsoever would be great, thanks.
P.S. Sorry the image is grainy, I didn't know how to make it small enough to fit the guidelines and still be legible.