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In calculus, how do I know when to use the disk method, or when to use the cylinder method?
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Well, it's a function of experience and trial-and-error, unfortunately. If you set up your volume elements using each method, you can see (usually) which will be easier to integrate.
Like loki has said, it depends on the function's graph ^_^
Usually its one of the either that will make the problem simple i would imagine...tho you could use both for any problem, aslong as you set it to the correct respect of the y or x axis. Usually Disc is when your trying to solve for x-axis and shell for y-axis.
If you have 2 graphs, cylindrical shell is much easier ^_^
than the washer's method
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