Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve about the given axis. Select the correct answer. 5 ○[2¬x√1 + (1/x)²dx 8 12πIn(x)√1 + (1/x)²dx 5 8 O127x√/1 + (1/x)³dx 5 Oj2zIn( [2ln(x)√1 + (1/x)²dx y = Inx, 5 ≤ x ≤ 8; x-axis

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Set up, but do not evaluate, an integral for the area of the surface obtained by
rotating the curve about the given axis.
y = Inx, 5 ≤ x ≤ 8; x-axis
Select the correct answer.
5
O]pur[1 1 + (1/x) ²dx
8
O27In(x)√1 + (1/x)²dx
5
O₁2√₁
√ ₁ + (1/x) ²³ dx
5
5
2
[2πln(x)√1 + (1/x) ² dx
8
Transcribed Image Text:Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve about the given axis. y = Inx, 5 ≤ x ≤ 8; x-axis Select the correct answer. 5 O]pur[1 1 + (1/x) ²dx 8 O27In(x)√1 + (1/x)²dx 5 O₁2√₁ √ ₁ + (1/x) ²³ dx 5 5 2 [2πln(x)√1 + (1/x) ² dx 8
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