Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Calculate the average value of the function
f
(
x
)
=
{
x
2
,
0
≤
x
≤
2
,
4
x
−
4
,
2
<
x
≤
4
f(x)=\begin{cases} x^{2}, & 0\le x\le 2,\\ 4x-4, & 2< x\le 4 \end{cases}
f
(
x
)
=
{
x
2
,
4
x
−
4
,
0
≤
x
≤
2
,
2
<
x
≤
4
on the interval
[
0
,
4
]
[0,4]
[
0
,
4
]
. Give your answer as an exact value.
Browse the problem library