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Mathematics
Mathematics
Problem
For a continuous function
g
g
g
defined on
[
2
,
5
]
[2,5]
[
2
,
5
]
, which of the following expressions represents the average value of
g
g
g
on that interval? a)
1
5
∫
2
5
g
(
x
)
d
x
\dfrac{1}{5}\displaystyle\int_{2}^{5} g(x)\,dx
5
1
∫
2
5
g
(
x
)
d
x
b)
1
3
∫
5
2
g
(
x
)
d
x
\dfrac{1}{3}\displaystyle\int_{5}^{2} g(x)\,dx
3
1
∫
5
2
g
(
x
)
d
x
c)
1
3
∫
2
5
g
(
x
)
d
x
\dfrac{1}{3}\displaystyle\int_{2}^{5} g(x)\,dx
3
1
∫
2
5
g
(
x
)
d
x
d)
∫
2
5
g
(
x
)
d
x
\displaystyle\int_{2}^{5} g(x)\,dx
∫
2
5
g
(
x
)
d
x
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