Explanation Given: The function is, f ( x ) = x 5 3 on the interval [ 1 , 8 ] Calculation: The volume of revolution about x -axis of the function y = f ( x ) on the interval [ a , b ] can be calculated by the formula ∫ a b π y 2 d x . Here, y = x 5 3 and the interval is [ 1 , 8 ] that is a = 1 and b = 8 . So, the volume is ∫ a b π y 2 d x = ∫ 1 8 π ( x 5 3 ) 2 d x = π ∫ 1 8 ( x 10 3 ) d x

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ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 6.3, Problem 7E

To determine

The volume of revolution about x-axis for the provided function.

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Chapter 6.3, Problem 6E

Chapter 6.3, Problem 8E

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The volume of revolution about x -axis for the provided function.

Solution Summary: The author calculates the volume of revolution about x -axis of the function y = f (x) on the interval [a, b].

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The volume of revolution about x-axis for the provided function.

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Chapter 6 Solutions