Which of the following integrals represents the volume of the solid of revolution formed by revolving the region bound by the graphs of y = 4x - x?, y = 0, x = 1, and x = 2 about the x-axis? .2 [ (4x – x³)³dx | 2 T | x(4x – x²)dx S(4x - x²)² – 1²)dx 4 | (4x – x²)²dx None of these

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 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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Which of the following integrals
represents the volume of the solid of
revolution formed by revolving the
region bound by the graphs of
y= 4x -x?, y = 0, x = 1, and x = 2
about the x-axis?
.2
S (4x – x²y²dx
TT
1
x(4x-x2)dx
1
.2
S (4x – x²)² – 1²)dx
4
I (4x – x²)²dx
TT
None of these
Transcribed Image Text:Which of the following integrals represents the volume of the solid of revolution formed by revolving the region bound by the graphs of y= 4x -x?, y = 0, x = 1, and x = 2 about the x-axis? .2 S (4x – x²y²dx TT 1 x(4x-x2)dx 1 .2 S (4x – x²)² – 1²)dx 4 I (4x – x²)²dx TT None of these
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