originally posted in:TFS The Floods Sanctuary
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I forgot how to do average values over an interval
Avg value of f(x)= 4x+7 over [1,3]
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Calculus Tutor to the rescue. You take an integral, then you divide by length of the interval you are integrating over. This intuitively makes sense, because taking an integral finds you an area, and when you divide by the "width" of that area, you end up with an average "height".