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Average Value of a Function on an Interval

AP Calculus AB· difficulty 1/5

The average value of ff on [a,b][a, b] is

  • A

    f((a+b)/2)f((a+b)/2)

  • B

    ∫abf dx\int_a^b f\,dx

  • C

    1b−a∫abf dx\dfrac{1}{b-a}\int_a^b f\,dx

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  • D

    f(a)+f(b)2\dfrac{f(a) + f(b)}{2}

Explanation

Standard definition.

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