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Mathematics
Problem
Which expression represents the average value of a continuous function
f
f
f
on the interval
[
a
,
b
]
[a,b]
[
a
,
b
]
where
a
<
b
a<b
a
<
b
? a)
1
b
−
a
∫
b
a
f
(
x
)
d
x
\dfrac{1}{b-a}\displaystyle\int_b^a f(x)\,dx
b
−
a
1
∫
b
a
f
(
x
)
d
x
b)
1
b
+
a
∫
a
b
f
(
x
)
d
x
\dfrac{1}{b+a}\displaystyle\int_a^b f(x)\,dx
b
+
a
1
∫
a
b
f
(
x
)
d
x
c)
1
b
−
a
∫
a
b
f
(
x
)
d
x
\dfrac{1}{b-a}\displaystyle\int_a^b f(x)\,dx
b
−
a
1
∫
a
b
f
(
x
)
d
x
d)
(
b
−
a
)
∫
a
b
f
(
x
)
d
x
(b-a)\displaystyle\int_a^b f(x)\,dx
(
b
−
a
)
∫
a
b
f
(
x
)
d
x
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