Write and evaluate the definite integral that represents the area of the surface generated by revolving the curve about the x-axis. y = 1 3 x3 The x y-coordinate plane is given. A curve is rotated about the x-axis to form a surface. The curve is labeled y = (1⁄3)x3. The curve starts at the origin, goes up and right getting more steep, and ends at the point (3, 9).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Write and evaluate the definite integral that represents the area of the surface generated by revolving the curve about the x-axis. y = 1 3 x3 The x y-coordinate plane is given. A curve is rotated about the x-axis to form a surface. The curve is labeled y = (1⁄3)x3. The curve starts at the origin, goes up and right getting more steep, and ends at the point (3, 9). 2? 3 dx 0 =
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