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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

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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