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    Arc length and surface area

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    Set up and simplify the integral that gives the length of the given smooth arc. Do not evaluate the integral.

    See attachment for problems

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    https://brainmass.com/math/integrals/arc-length-surface-area-254331

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    Set up and simplify the integral that gives the length of the given smooth arc. Do not evaluate the integral.

    dy/dx = 5/2 x3/2

    (dy/dx)2 = (5/2 x3/2)2 = 25/4 x3
    ds = dx
    ds = dx = dx
    Arc length = dx
    = dx

    dy/dx = 4/3 x1/3

    (dy/dx)2 = (4/3 x1/3)2 = 16/9 x2/3
    ds = dx
    ds = dx = dx = ...

    Solution Summary

    This provides examples of setting up integrals to find arc length, and finding area of a surface of revolution.

    $2.49

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