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

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
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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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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