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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 7E
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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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