Definite Integrals
Averages with Functions Exercises
Example 1
Let f (x) = 3x. Find a constant m such that
Example 2
Let f (x) = x. Find a constant m such that
Example 3
Find the average value of the function on the specified interval. Check and make sure your answer has the sign you would expect.
- f (x) = x on [-10, 0]
Example 4
Find the average value of the function on the specified interval. Check and make sure your answer has the sign you would expect.
- on [-2,2]
Example 5
Find the average value of the function on the specified interval. Check and make sure your answer has the sign you would expect.
- f (x) = sin x on [ = π,π]
Example 6
Find the average value of the function on the specified interval. Check and make sure your answer has the sign you would expect.
- f (x) = 3x + 2 on [1,4]
Example 7
Find the average value of the function on the specified interval. Check and make sure your answer has the sign you would expect.
- f (x) = -2x-1 on [-4,2]