This week was spent learning about the shell method, which I still don't understand totally and we have a quiz tomorrow so I'm trying to figure it out again. Instead of writing out the formula and everything we use for this method, I'm taking a picture of the notes because that's much easier than trying to type in everything. So now I'll explain that picture!
You see that we use 2pi now instead of just pi, that's because we are taking the anti-derivative of two equations, so we add the pi's together. Now, the p(x) (or y) is basically just the opposite of what axis you are going around, the x or y, and obviously f(x) or f(y) is just the function we were given. In my opinion, the shell method is quite easy, probably easier than the washer method to me!
I would try to explain what to do when we have to revolve a function around something other than an axis and have it shift, but I don't really understand it that well and I am not qualified to teach such a thing in a blog. Hopefully I can either figure this out or ask a question about it before the quiz tomorrow.
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