Find the average value of the function fxxex2SolutionYou hav

Solution

You have to know what the interval is to determine the average value.
Once you have it the formula is int f(x) from x=a to x=b divided by (b-a).

So here the antiderivative is -1/2 e^(-x^2)

So from a to b the average value is (1/2ea^2 -1/2 e^b^2)/(b-a)