MATH116 Lecture 19: lect116_32rev_f15
9 Dec 2015
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Wednesday, november 25 lecture 32 : average value of a function. Students who have mastered the content of this lecture know: about the average value of a function over an interval [a, b], the mean value theorem for integrals. Students who have practiced the techniques presented in this lecture will be able to: compute the average value of a function over an interval [a, b], state the mean value theorem for integrals. 32. 1 average value of f(x) let f (x) be a continuous function over the interval [a, b]. We recognize the expression as being a riemann sum where the interval is partitioned into n equal subintervals each of length x = (b a)/n. For a particular value of n we also recognize the expression. * can be chosen to be the right endpoint of the each as being an average of n chosen values of f over [a, b].
