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Mathematics
Problem
If
f
(
x
)
f(x)
f
(
x
)
is continuous and satisfies
f
(
x
)
<
0
f(x)<0
f
(
x
)
<
0
for every
x
x
x
in
(
2
,
5
)
(2,5)
(
2
,
5
)
, and
F
(
x
)
=
∫
1
x
f
(
t
)
d
t
F(x)=\int_{1}^{x} f(t)\,dt
F
(
x
)
=
∫
1
x
f
(
t
)
d
t
, what can you conclude about
F
F
F
on the interval
(
2
,
5
)
(2,5)
(
2
,
5
)
?
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