(adsbygoogle = window.adsbygoogle || []).push({}); 1. From Stewart Calculus and Concepts 4th edition, page 454 #15

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis.

15. y=4x-x^2, y=; rotate about x=1

2. Relevant equations

3. I was able to find the volume of the function y=4x-x^2 by integrating from 0 to 4, but the line y=3 cuts the function off near the top, and I don't know how to take some of that volume "out". Are 2 integrals needed for this? I also tried the washer method of integrating the top function(y=4x-x^2 minus the bottom function(y=3) and I still didn't get it. Ive been stuck on this one for about 2 hours now. Any hints?

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# Homework Help: Cylindrical shells question

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