Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve y = Inxs about the x-axis on the interval 1 ≤x≤6. dx ° S'2 7(6x)√/1 + [=* dx °[$²2 m (6x)}√/ 1 + 1 = ² dx 277(6x) S²₂2 7({6} (x)}√ 1 + [~=-* dx ° [2 max√/1 + 1 = ² & (x) 1+ dx 6

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...
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Set up.
but do not evaluate, an integral for the area of the surface obtained by rotating the curve
y = Inxs about the x-axis on the interval 1 ≤x≤6.
° S ²2 7 √ 1 + 1 = 1² ₁ ²
dx
05²216x1/√/1+1=1 4²
277(6x)
dx
° √/1+1+1+
S²27(
277(6x), 1+
dx
° √/1 dr
S²³27(61)
2 77(61n(x)) 1+
dx
S'^2 πrin(x)}√/1 + [-~-~)* dx
Transcribed Image Text:Set up. but do not evaluate, an integral for the area of the surface obtained by rotating the curve y = Inxs about the x-axis on the interval 1 ≤x≤6. ° S ²2 7 √ 1 + 1 = 1² ₁ ² dx 05²216x1/√/1+1=1 4² 277(6x) dx ° √/1+1+1+ S²27( 277(6x), 1+ dx ° √/1 dr S²³27(61) 2 77(61n(x)) 1+ dx S'^2 πrin(x)}√/1 + [-~-~)* dx
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