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Description of Average Value

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Use a finite sum to find the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals. Show all work!

f(x) = 5 + sin (Pi)x on [0, 2] divided into 4 subintervals

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Solution Summary

The average value is determined.

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the average value of f(x) on [a, b] is 1/(b - a) integral{a to b} f(x) dx, so we wish to approximate the integral itself;

to do this, we have to partition ...

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