Let R be the region enclosed by the curves y = 1, y = ln x, and y = (x – 1)², shown below. (0, 1) y=1 (e,1) 0.8 y=In(x) 0.6 R 04 y=(x-1) 02 12 (1, 0) 02 0.4 0.6 08 1.4 1.6 1.8 22 24 26 28 -02 Set up(and do not evaluate) a (sum of) definite integral(s) equal to: 1. The area of the region R using vertical strips. 2. The length of the graph of y = In x from the point (1,0) to the point (e, 1). 3. The volume of the solid obtained when R is revolved around the line x = -1, using the method of washers.

Let R be the region enclosed by the curves y = 1, y = ln x, and y = (x – 1)², shown below. (0, 1) y=1 (e,1) 0.8 y=In(x) 0.6 R 04 y=(x-1) 02 12 (1, 0) 02 0.4 0.6 08 1.4 1.6 1.8 22 24 26 28 -02 Set up(and do not evaluate) a (sum of) definite integral(s) equal to: 1. The area of the region R using vertical strips. 2. The length of the graph of y = In x from the point (1,0) to the point (e, 1). 3. The volume of the solid obtained when R is revolved around the line x = -1, using the method of washers.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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