Explanation Formula used: The volume of the solid formed by rotating R about the x axis is ∫ a b π f ( x ) 2 d x , where R is the region between f ( x ) and x -axis from x = a to x = b . Calculation: Calculate the volume of the solid when the region R is rotating about the- x axis. The curves are f ( x ) = 1 x − 1 and y = 0 . Here, R is the region between f ( x ) = 1 x − 1 and x axis where x varies from 2 to 4 . Substitute the respective values in ∫ a b π f ( x ) 2 d x and evaluate

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Chapter 8, Problem 31RE

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To find: The volume of the solid of revolution formed when its rotating about the x axis where the region bounded by the curves f(x)=1x−1 , y = 0, x=2 and x=4 .

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Chapter 8, Problem 30RE

Chapter 8, Problem 32RE

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The volume of the solid of revolution formed when its rotating about the x axis where the region bounded by the curves f ( x ) = 1 x − 1 , y = 0, x = 2 and x = 4 .

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To find: The volume of the solid of revolution formed when its rotating about the x axis where the region bounded by the curves f(x)=1x−1 , y = 0, x=2 and x=4 .

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