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Average Value of a Function

Average Value of a Function

The average height of the graph of a function. For y = f(x) over the domain [a, b], the formula for average value is given below.

 

Graph of y=f(x) over [a,b] showing shaded area beneath curve, with average value formula: (1/(b-a))∫f(x)dx shown as horizontal...

 

See also

Mean value theorem for integrals