6.5 Average Value of a Function Question #2 (Medium)
This preview shows half of the first page. to view the full 1 pages of the document.
6.5 Integral Applications
Average Value of a Function
Question #2 (Medium): Finding the Average Value of a Trigonometric Exponential Function
Make sure to integrate correctly, then divide by to get the average value of the function.
Find the average value of the function over the interval .
Average value of a function:
Given the interval , and .
Notice the function is in the form of chain rule.
(to check, take the derivative and see if it equals to
Substituting into the equation:
Therefore, the average value of the function
over the interval is
You're Reading a Preview
Unlock to view full version