1. Set-up only the definite integral to determine the area of the region bounded by y = x² - 4x + 3 and y=-x² + 2x + 3 by using (a) vertical strips, and (b) horizontal strips

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Set-up only the definite integral to determine the area of the region bounded by
y = x² - 4x + 3 and y = -x² + 2x + 3 by using
(a) vertical strips, and
(b) horizontal strips
5T
2. Set-up only the definite integral to determine the volume of the solid of revolution by
revolving the region bounded by y = sin x and y = cos x, ≤ x ≤, about the y -axis
using
(a) Disk or washer method, and
(b) Cylindrical Shell method
Transcribed Image Text:1. Set-up only the definite integral to determine the area of the region bounded by y = x² - 4x + 3 and y = -x² + 2x + 3 by using (a) vertical strips, and (b) horizontal strips 5T 2. Set-up only the definite integral to determine the volume of the solid of revolution by revolving the region bounded by y = sin x and y = cos x, ≤ x ≤, about the y -axis using (a) Disk or washer method, and (b) Cylindrical Shell method
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