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Mathematics
Mathematics
Problem
If
f
(
x
)
f(x)
f
(
x
)
is a continuous function such that
f
(
x
)
≥
0
,
∀
x
∈
[
2
,
10
]
f(x) \ge 0, \forall x \in [2, 10]
f
(
x
)
≥
0
,
∀
x
∈
[
2
,
10
]
and
∫
4
8
f
(
x
)
d
x
=
0
\int_{4}^{8} f(x) dx = 0
∫
4
8
f
(
x
)
d
x
=
0
, then find
f
(
6
)
f(6)
f
(
6
)
.
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