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alculate the volume of the solid of revolution that is formed by revolving the curvey = 2 + sin(x) over the interval [0, 2π] around the x-axis.

Question

alculate the volume of the solid of revolution that is formed by revolving the curvey = 2 + sin(x) over the interval [0, 2π] around the x-axis.
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Solution 1

To calculate the volume of the solid of revolution, we can use the disk method. The formula for the disk method is V = π ∫ [r(x)]² dx from a to b, where r(x) is the radius of the disk at x.

  1. Identify the radius function r(x). In this case, the curve y = 2 + sin(x) is being revolved around the x-a Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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