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Mathematics
Mathematics
Problem
Suppose
f
f
f
is continuous on
[
1
,
5
]
[1,5]
[
1
,
5
]
. The net signed area between the graph of
f
f
f
and the
x
x
x
-axis is
−
2
-2
−
2
on the interval
[
1
,
3
]
[1,3]
[
1
,
3
]
and
6
6
6
on
[
3
,
5
]
[3,5]
[
3
,
5
]
. If
F
F
F
is an antiderivative of
f
f
f
with
F
(
1
)
=
10
F(1)=10
F
(
1
)
=
10
, calculate
F
(
5
)
F(5)
F
(
5
)
.
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