Use the method of cylindrical shells to find the volume generated by rotating the region bounded by = 3 + 2x − x² and y + x = 3 about the y-axis. Below is a graph of the bounded = the curves y region. Volume = F1 1,0 -1

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 1E
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Use the method of cylindrical shells to find the volume generated by rotating the region bounded by
= 3 + 2x − x² and y + x = 3 about the y-axis. Below is a graph of the bounded
=
the curves y
region.
Volume =
F1
1,0
-1
Transcribed Image Text:Use the method of cylindrical shells to find the volume generated by rotating the region bounded by = 3 + 2x − x² and y + x = 3 about the y-axis. Below is a graph of the bounded = the curves y region. Volume = F1 1,0 -1
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