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    Integration : Area of a Bounded Region

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    Please help with the following problem. Provide step by step calculations for each.

    The average value of f(x) = 1/x on the interval [4, 16] is

    (ln 2)/3
    (ln 2)/6
    (ln 2)/12
    3/2
    0
    1
    none of these

    Find the area, in square units, of the region bounded by the the x axis and the function y = 16 - x^2.

    32/3
    36
    256/3
    500/3
    972
    none of these

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    Solution Preview

    21. The average value of f(x) = 1/x on the interval [4, 16] is

    (ln 2)/3
    (ln 2)/6
    (ln 2)/12
    3/2
    0
    1
    none of these

    The answer is (ln 2)/6.

    As by the definition, the average value of f(x) = 1/x on the interval [4, 16] is equal to the definite ...

    Solution Summary

    The area of a bounded region is found using integrals. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question. Step by step calculations are given.

    $2.49

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