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Mathematics
Mathematics
Problem
Briefly explain why the average value of an even continuous function
f
f
f
on
[
−
a
,
a
]
[-a,a]
[
−
a
,
a
]
can be computed using
1
a
∫
0
a
f
(
x
)
d
x
\tfrac{1}{a}\int_{0}^{a} f(x)\,dx
a
1
∫
0
a
f
(
x
)
d
x
. (One or two concise sentences suffice.)
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