Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Which of the following expressions represents the average value of a continuous function
f
f
f
on the closed interval
[
a
,
b
]
[a,b]
[
a
,
b
]
with
a
<
b
a<b
a
<
b
? a)
∫
a
b
f
(
x
)
d
x
\displaystyle \int_{a}^{b} f(x)\,dx
∫
a
b
f
(
x
)
d
x
b)
1
b
−
a
∫
0
b
f
(
x
)
d
x
\displaystyle \frac{1}{b-a}\int_{0}^{b} f(x)\,dx
b
−
a
1
∫
0
b
f
(
x
)
d
x
c)
1
b
−
a
∫
a
b
f
(
x
)
d
x
\displaystyle \frac{1}{b-a}\int_{a}^{b} f(x)\,dx
b
−
a
1
∫
a
b
f
(
x
)
d
x
d)
1
2
∫
a
b
f
(
x
)
d
x
\displaystyle \frac{1}{2}\int_{a}^{b} f(x)\,dx
2
1
∫
a
b
f
(
x
)
d
x
Browse the problem library