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Volume of Revolution

  • Thread starter mace2
  • Start date
  • #1
98
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Homework Statement


"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


Homework Equations


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.
 

Attachments

Answers and Replies

  • #2
98
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Ah I just figured it out. I accidentally wrote 5-x+4/x, when i really meant 5-(x+4/x).

Stupid parantheses!!!!
 
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,805
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Perhaps it's not the parentheses that are stupid!:rolleyes:
 

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