Home » VCE » Maths Methods U3 & 4 Master Notes » 11.2 Average Value, Straight Line Motion

11.2 Average Value, Straight Line Motion

Average Value of a Function

  • The average value of a function f(x) for an interval [a,b]
    is defined as:

\text { Average Value }=\frac{1}{b-a} \int_{a}^{b} f(x) d x

  • Graphically, it is equivalent as drawing a rectangle that has length b-a, and has an area that equals \int_{a}^{b} f(x) d x, or the area under the curve for the interval [a,b]. Therefore, the height of this rectangle is the average value of f(x)
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