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Mathematics
Problem
Determine the average value of the function
f
(
x
)
=
x
e
x
2
f(x)=x e^{x^{2}}
f
(
x
)
=
x
e
x
2
on the interval
[
0
,
1
]
[0,1]
[
0
,
1
]
. Express your answer in terms of
e
e
e
.
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