Sketch the region bounded by y = 3 - 2x - x^2 and y = x - 1. Then set up the integrals for the volume of revolution about these lines: a). Rotate about the line x = 4 b). Rotate about the line y = 4 There is no need to calculate the integral but please show clear steps on how to obtain the integral set up.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 22CR
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Sketch the region bounded by y = 3 - 2x - x^2 and y = x - 1. Then set up the integrals for the volume of revolution about these lines:

a). Rotate about the line x = 4

b). Rotate about the line y = 4

There is no need to calculate the integral but please show clear steps on how to obtain the integral set up.

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