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    Integrals : Average Value of a Function over an Interval

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    13. What is the average value of the function f(x) = x sin(x2) over the interval [2,4]?

    A. sin 4 + 2 sin 16 B. -sin 4 + 2 sin 16 C. (cos 4 - cos 16)/2
    D. (cos 4 - cos 16)/4 E. (-cos 4 + cos 16)/4

    © BrainMass Inc. brainmass.com March 4, 2021, 6:10 pm ad1c9bdddf
    https://brainmass.com/math/integrals/integrals-average-value-function-over-interval-33164

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    Solution Preview

    This is actually a question of integral:
    ∫x sin(x2)dx
    = ∫0.5(dx2 ...

    Solution Summary

    The average value of a function over an Interval is found.

    $2.19

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