Find the surface area traced out when the curve 8y² = x²(1 - x²) is revolved around the x-axis. S = π 2 Hint: Is the integrand odd or even? In the case of odd, symmetry cannot be used.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 61E
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Find the surface area traced out when the curve 8y² = x²(1 - x²) is revolved around the x-axis.
S =
π
2
Hint: Is the integrand odd or even? In the case of odd, symmetry cannot be used.
Transcribed Image Text:Find the surface area traced out when the curve 8y² = x²(1 - x²) is revolved around the x-axis. S = π 2 Hint: Is the integrand odd or even? In the case of odd, symmetry cannot be used.
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