Set up but do not evaluate an integral that represents the volume of the solid of revolution obtained by rotating the region bounded by the curves y = x + 2 and y=-x² + 6x-2 about the y-axis. S₁ X. [(x + 2) - (x² + +6x-2)] dx 2π f₁3 [(−x² + 6x − 2) − (x + 2)] dx 4 ㅠ fª* [(x + 2) − (−x² + 6x − 2)] da 4 2TT SA 4 π √ √* [(−x² + 6x − 2) − (x + 2)] da 1 0 2π X. x. [(−x² + 6x − 2)² − (x + 2)²] dx

Set up but do not evaluate an integral that represents the volume of the solid of revolution obtained by rotating the region bounded by the curves y = x + 2 and y=-x² + 6x-2 about the y-axis. S₁ X. [(x + 2) - (x² + +6x-2)] dx 2π f₁3 [(−x² + 6x − 2) − (x + 2)] dx 4 ㅠ fª* [(x + 2) − (−x² + 6x − 2)] da 4 2TT SA 4 π √ √* [(−x² + 6x − 2) − (x + 2)] da 1 0 2π X. x. [(−x² + 6x − 2)² − (x + 2)²] 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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