Question

What is the average value of the function `h(x) = cos^4 x sin x` on the interval `[0,pi]`?

Answer 1

`2/(5pi)`

Explanation:

The average value of `cos^4x sinx` on `[0,pi]` is

`1/(pi-1) int_0^pi cos^4x sinx dx` Use `u = cosx` to integrate and get

`- 1/pi [cosx/5]_0^pi = 2/(5pi)`