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Mathematics
Mathematics
Problem
Let
f
f
f
be a continuous odd function on the closed interval
[
−
5
,
5
]
[-5,5]
[
−
5
,
5
]
. What is the average value of
f
f
f
on this interval? a)
f
(
0
)
f(0)
f
(
0
)
b) Cannot be determined from the given information c) 0 d)
1
5
∫
0
5
f
(
x
)
d
x
\displaystyle\frac{1}{5}\int_{0}^{5}f(x)\,dx
5
1
∫
0
5
f
(
x
)
d
x
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