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    Surface area of solid of revolution

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    Using the formula for the surface area of a revolving curve about the x-axis:
    S=∫2πy√(1 + (dy/dx)²)dx throughout a,b

    Find the area of the surface generated by revolving the curve about the x axis within the given boundaries
    y=√(x + 1)

    1≤x≤5

    Please be detailed, showing the complete derivation, integration and substitution of limits to find the area.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:51 pm ad1c9bdddf
    https://brainmass.com/math/integrals/surface-area-of-solid-of-revolution-65533

    Solution Summary

    This provides an example of finding the surface area of a solid of revolution.

    $2.49

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