3. Find the volume of the solid of revolution formed by revolving the region bounded by y = x - x³ and the x-axis (0 ≤ x ≤ 1) about the y-axis.

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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3. Find the volume of the solid of
revolution formed by revolving the
region bounded by y = x - x³ and the
x-axis (0 ≤ x ≤ 1) about the y-axis.
Transcribed Image Text:3. Find the volume of the solid of revolution formed by revolving the region bounded by y = x - x³ and the x-axis (0 ≤ x ≤ 1) about the y-axis.
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