The volume of the solid obtained by rotating the region bounded by y = x², = 2x, about the line x = 2 can be computed using the method of washers via an integral V = ? with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral V = ? with limits of integration a = and B = In either case, the volume is V = cubic units.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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The volume of the solid obtained by rotating the region bounded by
y = x²,
y = 2x,
about the line x =
: 2 can be computed using the method of washers via an integral
V =
?
with limits of integration a =
and b =
The volume of this solid can also be computed using cylindrical shells via an integral
V =
?
with limits of integration a =
and B :
In either case, the volume is V =
cubic units.
Transcribed Image Text:The volume of the solid obtained by rotating the region bounded by y = x², y = 2x, about the line x = : 2 can be computed using the method of washers via an integral V = ? with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral V = ? with limits of integration a = and B : In either case, the volume is V = cubic units.
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