The problem involves finding the volume of a solid formed by rotating a region bounded by the curves y=x, y=0, x=2, and x=4 about the line x=1. Participants are asked to sketch the region, the solid, and a typical disk or washer.
Some participants have offered guidance on the choice of method and the implications of rotating around a specific line. There is an ongoing exploration of how to properly express the integral, with some participants seeking clarification on notation.
Participants mention challenges with notation for the integral limits and the need for clarity on the method being used, indicating a focus on understanding the setup rather than solving the problem directly.
Hello jzsc. Welcome to PF !jzsc said:Homework Statement
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
y=x, y=0, x=2, x=4; about x=1
The Attempt at a Solution
one of the radii is x=y but I'm not sure how to find the other one and the interval? Please explain this one to me. Thanks!
e^(i Pi)+1=0 said:2\Pi\int x f(x) dx
(I don't know how to put the a & b above and below the integrand)