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

Algebra ->  Functions -> SOLUTION: Find the average value of the function; : F(x)=(e^2x)-(e^x) over0 ≤ x ≤ In4      Log On


   

Question 1044441: Find the average value of the function; :
F(x)=(e^2x)-(e^x) over0 ≤ x ≤ In4
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
This problem was already solved previously elsewhere.
The average value of F(x) over the closed interval 0+%3C=+x+%3C=+ln4
is given by

= %281%2Fln4%29int%28%28e%5Ex-1%29%2C+de%5Ex%2C+0%2C+ln4%29
= %281%2Fln4%29%2A%28e%5E%282x%29%2F2+-+e%5Ex%29%5B0%5D%5Eln4
Now finish the evaluation....