SOLUTION: Find the average value of the function : F(x)=(e^2x)-(e^x) over0 ≤ x ≤ In4

SOLUTION: Find the average value of the function : F(x)=(e^2x)-(e^x) over0 ≤ x ≤ In4

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Question 1044376: Find the average value of the function :
F(x)=(e^2x)-(e^x) over0 ≤ x ≤ In4
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Do you mean "ln 4?" as in the natural logarithm of 4? You typed In(4).

To find average value, compute the integral of F(x) dx over the interval, and divide by the length of the interval. That is, you want

This is equal to

You should be able to work out the rest.
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