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Mathematics
Mathematics
Problem
1. Find the average value of
f
(
x
)
=
4
x
cos
x
2
f(x)=4 x \cos x^{2}
f
(
x
)
=
4
x
cos
x
2
on the interval
[
0
,
π
2
]
\left[0, \sqrt{\frac{\pi}{2}}\right]
[
0
,
2
π
]
.
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