Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The function
p
p
p
is given by
p
(
x
)
=
{
1
,
0
≤
x
<
1
,
2
,
1
≤
x
<
2
,
3
−
x
,
2
≤
x
≤
3.
p(x)=\begin{cases}1, & 0\le x<1,\\ 2, & 1\le x<2,\\ 3-x, & 2\le x\le 3.\end{cases}
p
(
x
)
=
⎩
⎨
⎧
1
,
2
,
3
−
x
,
0
≤
x
<
1
,
1
≤
x
<
2
,
2
≤
x
≤
3.
Determine
∫
0
3
p
(
x
)
d
x
\int_{0}^{3} p(x)\,dx
∫
0
3
p
(
x
)
d
x
.
Browse the problem library