Explanation Given information: The polar curve is f ( θ ) = θ π for 0 ≤ θ ≤ 2 π . Formula used: The area of the polar region enclosed by r = f ( θ ) for a ≤ θ ≤ b is given by A = 1 2 ∫ a b [ f ( θ ) ] 2 d θ . Calculation: f ( θ ) = θ π for 0 ≤ θ ≤ 2 π (Given) The area of the polar region enclosed by f ( θ ) = θ π for 0 ≤ θ ≤ 2 π is given by A = 1 2 ∫

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 6.3, Problem 36PS

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To find:The area of the polar region enclosed by f(θ)=θπ for 0≤θ≤2π .

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Chapter 6.3, Problem 35PS

Chapter 6.3, Problem 37PS

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Chapter 6 Solutions

Calculus

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The area of the polar region enclosed by f ( θ ) = θ π for 0 ≤ θ ≤ 2 π .

Solution Summary: The author calculates the area of the polar region enclosed by f(theta )=

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To find:The area of the polar region enclosed by f(θ)=θπ for 0≤θ≤2π .

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Chapter 6 Solutions