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Mathematics
Problem
4. Find the average value of
f
(
x
)
=
x
2
(
1
−
x
3
)
2
f(x)=\frac{x^{2}}{\left(1-x^{3}\right)^{2}}
f
(
x
)
=
(
1
−
x
3
)
2
x
2
on the interval
[
2
,
4
]
[2,4]
[
2
,
4
]
. (A)
2
189
\frac{2}{189}
189
2
(B)
4
189
\frac{4}{189}
189
4
(C)
8
189
\frac{8}{189}
189
8
(D)
16
189
\frac{16}{189}
189
16
(A)
2
189
\frac{2}{189}
189
2
(B)
4
189
\frac{4}{189}
189
4
(C)
8
189
\frac{8}{189}
189
8
(D)
16
189
\frac{16}{189}
189
16
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