Compute the area of the surface obtained by rotating the curve y = 1+ 2x², 0 ≤ x ≤1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 40RE
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Compute the area of the surface obtained by rotating the curve
y = 1+ 2x², 0≤x≤1
Transcribed Image Text:Compute the area of the surface obtained by rotating the curve y = 1+ 2x², 0≤x≤1
mb
about the y-axis.
(The formula for the surface area of the surface obtained by rotating the curve
·Sº
a
y = f(x), a ≤ x ≤ b, about the y axis, is S =
2πx (arc length) dx. )
Transcribed Image Text:mb about the y-axis. (The formula for the surface area of the surface obtained by rotating the curve ·Sº a y = f(x), a ≤ x ≤ b, about the y axis, is S = 2πx (arc length) dx. )
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