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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
2
x
,
x
<
1
4
,
x
≥
1
f(x)=\begin{cases}2x,& x<1\\4,& x\ge 1\end{cases}
f
(
x
)
=
{
2
x
,
4
,
x
<
1
x
≥
1
. The function
F
F
F
is defined by
F
(
x
)
=
∫
0
x
f
(
t
)
d
t
F(x)=\int_{0}^{x} f(t)\,dt
F
(
x
)
=
∫
0
x
f
(
t
)
d
t
. Determine the value of
F
(
2
)
F(2)
F
(
2
)
.
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