Which of the following integrals represents the area of the surface obtained by rotating the curve y=e, 1≤ y ≤ 2, about the y-axis? 2 [²1 A. 2π B. 2T + [ ²2 e³ √ 1 + (1/3) dy 1 2 7² y√/1 + (1/y) ² dy C. 2T D. 2T In(y) √ √1 + (1/y)² dy E. 2π F. 2π 2 S In(y) √/1 + (1/y) dy 2 (² e √/1 + (1/y)² dy [² 2 y/1+ (1/y) dy

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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Which of the following integrals represents the area of the surface obtained by rotating the curve
y=e, 1≤ y ≤ 2, about the y-axis?
2
[²1
A. 2π
B. 2T
C. 2T
2
T² y√/1 + (1/y) ² dy
D. 2T
E. 2TT
F. 2π
²2 e" /1+ (1/y) dy
In(y) √ 1 + (1/y)² dy
2
*
In(y) √/1 + (1/y) dy
1
(²
2
e³/1+ (1/y)² dy
2
S y√/1+ (1/y) dy
Transcribed Image Text:Which of the following integrals represents the area of the surface obtained by rotating the curve y=e, 1≤ y ≤ 2, about the y-axis? 2 [²1 A. 2π B. 2T C. 2T 2 T² y√/1 + (1/y) ² dy D. 2T E. 2TT F. 2π ²2 e" /1+ (1/y) dy In(y) √ 1 + (1/y)² dy 2 * In(y) √/1 + (1/y) dy 1 (² 2 e³/1+ (1/y)² dy 2 S y√/1+ (1/y) dy
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