Average Function Value

# Average Function Value - Average Function Value The first...

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Average Function Value The first application of integrals that we’ll take a look at is the average value of a function. The following fact tells us how to compute this. Average Function Value The average value of a function over the interval [ a,b ] is given by, To see a justification of this formula see the Proof of Various Integral Properties section of the Extras chapter. Let’s work a couple of quick examples. Example 1 Determine the average value of each of the following functions on the given interval. (a) on [ Solution ] (b) o n [ Solution ] Solution (a) o n There’s really not a whole lot to do in this problem other than just use the formula.

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So, the average value of this function of the given interval is -1.620993. [ Return to Problems ] (b) o n Again, not much to do here other than use the formula. Note that the integral will need the following substitution. Here is the average value of this function,
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## This note was uploaded on 11/06/2011 for the course MATH 151 taught by Professor Sc during the Fall '08 term at Rutgers.

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Average Function Value - Average Function Value The first...

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