Explanation Given information: The region between the curve y = sec − 1 x and the x axis. The region lies from x = 0 to x = 1 . Calculation: Provide the equation of curve as shown below. y = sec − 1 x x = sec y The limit is a = 0 and b = π 3 . The outer radius of the washer R ( y ) = 2 . The inner radius of the washer r ( y ) = sec y . Calculate the volume of the solid using washer method as shown below. V = ∫ a b π ( ( R ( y ) ) 2 − ( r ( y ) ) 2 ) d y Substitute 0 for a , π 3 for b , 2 for R ( y ) , and sec y for r ( y )

Thomas' Calculus: Early Transcendentals (14th Edition)

14th Edition

ISBN: 9780134439020

Author: Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher: PEARSON

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Chapter 6.2, Problem 46E

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Calculate the volume of the solid.

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Chapter 6.2, Problem 45E

Chapter 6.2, Problem 47E

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Thomas' Calculus: Early Transcendentals (14th Edition)

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