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10 cards from this deck
It provides a single representative value over an interval.
Using favg=1b−a∫abf(x)dxf_{avg} = \frac{1}{b-a} \int_a^b f(x) dxfavg=b−a1∫abf(x)dx.
It represents the total area under the curve f(x)f(x)f(x).
It is the length of the interval used for scaling.
It represents the constant height enclosing area under f(x)f(x)f(x).
Average value = 1b−a∫abf(x)dx\frac{1}{b-a} \int_{a}^{b} f(x) dxb−a1∫abf(x)dx
Average value = 1b−a∫abf(x)dx\frac{1}{b-a} \int_a^b f(x) dxb−a1∫abf(x)dx
Identify the interval [a,b][a, b][a,b] and the function f(x)f(x)f(x).
Used in physics, engineering, and economics for averages.
Divide the result by the interval length b−ab - ab−a.
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