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Mathematics
Mathematics
Problem
On the interval
[
2
,
6
]
[2,6]
[
2
,
6
]
, a differentiable function
F
F
F
satisfies
F
′
(
x
)
=
f
(
x
)
F'(x)=f(x)
F
′
(
x
)
=
f
(
x
)
with
f
(
x
)
≥
1
f(x)\ge 1
f
(
x
)
≥
1
for every
x
x
x
in that interval and
F
(
2
)
=
7
F(2)=7
F
(
2
)
=
7
. State the inequality that relates
F
(
6
)
F(6)
F
(
6
)
to
7
7
7
.
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