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).
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).
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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