Question

The average value of cosx on the interval [-3, 5] is

Answer 1

\frac{1}{8} (sin 5+sin 3)

Explanation:

step 1:-

average value of given function =
`(1)/(b-a) \int\limits^a_b {f(x)} \, dx`

[
`(1)/(8)(sin 5-(sin(-3)) \\\\(1)/(8) (sin 5+sin 3)`

Final answer:-

\frac{1}{8} (sin 5+sin 3)