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Math Help - Average Values of Functions...?

  1. #1
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    Average Values of Functions...?

    Hello!

    I was absent for a week at school because I got sick, so I'm totally lost! The test is on Tuesday and I was trying to study by myself. Here are some examples of the problems:

    1. Find the average value of the function u(v)=4cosv on the interval [0,\frac{\pi}{2}]

    2. Find the average value of the function y(v)=(9v)sin(v^2) on the interval [0,\sqrt{\pi}]

    Is is, by any chance, the simple integral of the functions? ANY help is appreciated!
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  2. #2
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    Quote Originally Posted by JoelR View Post
    Hello!

    I was absent for a week at school because I got sick, so I'm totally lost! The test is on Tuesday and I was trying to study by myself. Here are some examples of the problems:

    1. Find the average value of the function u(v)=4cosv on the interval [0,\frac{\pi}{2}]

    2. Find the average value of the function y(v)=(9v)sin(v^2) on the interval [0,\sqrt{\pi}]

    Is is, by any chance, the simple integral of the functions? ANY help is appreciated!
    The average value of a function f(x) over the interval [a, b] is \displaystyle \frac{\int_a^b f(x) \, dx}{b - a}.

    This formula and examples are certain to be in your textbook.
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