Let A be the region bounded by the curves y = x and y = x² in the first quadrant. Which of the following integrals represents the volume of the solid obtained by rotating A about the line y = 2? 1 *(x* - 5x? 4x) dx a (-x* + 5x? – 4x) dx 1 (x* – x² ) dx п (х* + 3х? — 4х) dx

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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Let A be the region bounded by the curves y = x and y = x² in the first quadrant. Which of the following integrals
represents the volume of the solid obtained by rotating A about the line y = 2?
(x+ – 5x²
+ 4x) dx
IT
1
л (-x* + 5х? — 4x) dx
O (* - x*) dx
IT
1
a (x* + 3x² – 4x) dx
Transcribed Image Text:Let A be the region bounded by the curves y = x and y = x² in the first quadrant. Which of the following integrals represents the volume of the solid obtained by rotating A about the line y = 2? (x+ – 5x² + 4x) dx IT 1 л (-x* + 5х? — 4x) dx O (* - x*) dx IT 1 a (x* + 3x² – 4x) dx
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