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    Area of a surface of revolution

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    NOTE: we are supposed to use the definition of the Area of a Surface of Revolution to solve this problem. I have attached this formula in a word document.

    The problem:

    Given: y = -x^2 + 4x defined on the closed domain [0,4]
    Revolve the graph about the x-axis. Find the area of the surface obtained.

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    Solution Summary

    The area of a surface of revolution is calculated using integrals. The solution is detailed and well presented.