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Mathematics
Problem
Suppose
f
f
f
is continuous and non-negative on the closed interval
[
2
,
5
]
[2,5]
[
2
,
5
]
. A function
F
F
F
satisfies
F
′
(
x
)
=
f
(
x
)
F'(x)=f(x)
F
′
(
x
)
=
f
(
x
)
and
F
(
2
)
=
7
F(2)=7
F
(
2
)
=
7
. Without evaluating an integral, state whether
F
(
5
)
F(5)
F
(
5
)
is greater than, less than, or equal to 7, and briefly justify your conclusion.
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