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The mean value theorem for integrals and Maple

  1. Feb 5, 2013 #1
    1. The problem statement, all variables and given/known data

    I have function f which is defined upon an interval [a,b]. I have calculated the mean value using the theorem

    [itex]\frac{1}{b-a} \int_{a}^b f(x) dx[/itex]

    What I would like to do is to plot in Maple the mean value rectangle. Where the hight of this rectangle represents the mean value of f(x) with respect to the interval [a,b].

    Is this possible in Maple? If yes anyone who would like to share the Maple command for it?

    Thanks in advance :)
  2. jcsd
  3. Feb 5, 2013 #2

    Ray Vickson

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    Homework Helper

    If you mean that you want to plot both f(x) and its mean = m over [a,b], just use the command
    Whether you use f(x) or just f in the plot command depends on whether f is a function or a formula. You can also choose the plot colours, such as
    plot([f(x),m],x=a..b,color = [red,blue]); being a Canadian product, Maple also lets you say colour = ... if you prefer (which I do).
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