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# Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves about the given axis.$y = e^x$ , $y = e^{-x}$ , $x = 1$ ; about the y-axis

## $4 \pi e^{-1}$

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Integration Techniques

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### Video Transcript

problem is, is my third of its cylindrical shells on the wall in Generate it in a region bombing by the crews. After given access, you're wise Eagle Track Sammy make tracks except the one about waxes. So first to weaken. Just graph. I'm here to explain why, and this's a graph into axe and this is a graph. This is a graph. You to make your backs. This isthe except with one, says Redan, Is this part now? By using my third of off political shells, we can see What way is that culture Shuhei Hands grow from Beirut. One ex Tam's tow trucks mindlessly to make two walks. Yes. With this problem, we can use intuition. My parts The farmer is integral from a to B you comes with from the axe. Leslie, could you'd have to be from a being minus the integral from a to B your prom times being Jax our problem. We cannot use the photo packs. A big prom is because you in tow us mind makes your backs. Then you crumple it with one of these. Go to the tracks us into make you axe. Now this into the earliest they go to to high arms. You can sleep on this x o x us to make you relax from their own won. The minus into grew from there. One. It likes us to make a few bucks. Yes, this is equal to pi. When we're plugging one, there are two. The first term we have. This is they could be my ass into next to y then integral off into explosive mix. Max, it's between you two ax minus into negative lax. From what? This is a true high e plus you too, Matthew One minus. It wants to make one minus zero. The answer is he called full high hams in tow next year.

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#### Topics

Integration Techniques

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