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Mathematics
Problem
Suppose
f
f
f
is continuous and positive on the interval
(
2
,
5
)
(2,5)
(
2
,
5
)
. If
F
F
F
satisfies
d
F
d
x
=
f
(
x
)
\dfrac{dF}{dx}=f(x)
d
x
d
F
=
f
(
x
)
and
F
(
2
)
=
−
1
F(2)=-1
F
(
2
)
=
−
1
, which of the following must be true? a)
F
(
5
)
=
F
(
2
)
F(5)=F(2)
F
(
5
)
=
F
(
2
)
b) No conclusion can be drawn about
F
(
5
)
F(5)
F
(
5
)
relative to
F
(
2
)
F(2)
F
(
2
)
c)
F
(
5
)
>
F
(
2
)
F(5)>F(2)
F
(
5
)
>
F
(
2
)
d)
F
(
5
)
<
F
(
2
)
F(5)<F(2)
F
(
5
)
<
F
(
2
)
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