Average Values of Functions...?

• Nov 27th 2010, 04:02 AM
JoelR
Average Values of Functions...?
Hello!

I was absent for a week at school because I got sick, so I'm totally lost! The test is on Tuesday and I was trying to study by myself. Here are some examples of the problems:

1. Find the average value of the function $u(v)=4cosv$ on the interval $[0,\frac{\pi}{2}]$

2. Find the average value of the function $y(v)=(9v)sin(v^2)$ on the interval $[0,\sqrt{\pi}]$

Is is, by any chance, the simple integral of the functions? ANY help is appreciated!
• Nov 27th 2010, 04:05 AM
mr fantastic
Quote:

Originally Posted by JoelR
Hello!

I was absent for a week at school because I got sick, so I'm totally lost! The test is on Tuesday and I was trying to study by myself. Here are some examples of the problems:

1. Find the average value of the function $u(v)=4cosv$ on the interval $[0,\frac{\pi}{2}]$

2. Find the average value of the function $y(v)=(9v)sin(v^2)$ on the interval $[0,\sqrt{\pi}]$

Is is, by any chance, the simple integral of the functions? ANY help is appreciated!

The average value of a function f(x) over the interval [a, b] is $\displaystyle \frac{\int_a^b f(x) \, dx}{b - a}$.

This formula and examples are certain to be in your textbook.