Average Value of a Continuous Function on an Interval

We know how to compute the average of a list of numbers. But what about the average for a continuous function on an interval? We will use an approximation of the function by a list of points to derive that the average value is proportional to the area under the curve, i.e the definite integral.

FORMULA: f_avg = 1/(b-a) * int_a^b f(x)dx

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