6. Write and evaluate the definite integral that represents the area of the surface generated by revolving the curve on the indicated interval about the indicated axis. a) y = √4x² on [-1, 1]about the x - axis b) y = 1 on [0, 2]about the y -axis

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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6. Write and evaluate the definite integral that represents the area of the surface generated by
revolving the curve on the indicated interval about the indicated axis.
a) y = √4x² on [-1, 1]about the x - axis
b) y = 1−² on [0, 2]about the y — axis
Transcribed Image Text:6. Write and evaluate the definite integral that represents the area of the surface generated by revolving the curve on the indicated interval about the indicated axis. a) y = √4x² on [-1, 1]about the x - axis b) y = 1−² on [0, 2]about the y — axis
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