The volume of the solid obtained by rotating the region enclosed by y = 1/x³, y = 0, x = 3, x = 4 about the line x = -4 can be computed using the method of cylindrical shells via an integral 1. a V = with limits of integration a = 3 and b = 4 dx v

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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The volume of the solid obtained by rotating the region enclosed by
y = 1/x³, y = 0, x = 3, x = 4
about the line x = -4 can be computed using the method of cylindrical shells via an integral
S
a
V =
with limits of integration a =
3
and b =
4
dx v
Transcribed Image Text:The volume of the solid obtained by rotating the region enclosed by y = 1/x³, y = 0, x = 3, x = 4 about the line x = -4 can be computed using the method of cylindrical shells via an integral S a V = with limits of integration a = 3 and b = 4 dx v
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