💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 5 Easy Difficulty

Find the average value of the function on the given interval.

$ f(t) = e^{\sin t} \cos t $ , $ [0, \frac{\pi}{2}] $

Answer

$\frac{2}{\pi}(e-1)$

Discussion

You must be signed in to discuss.

Video Transcript

the average value formula is one over B, which is power to minus a which is zero through zero. Power to and in our function e to the sign t course Auntie D G, which we can write out. Simplified is too over pi you to the sign two from zero to pi over too, which gives us to e months two divided by pi. So just remember one over B minus a and then the function from A to B.