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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
2
−
4
x
f(x)=x^{2}-4x
f
(
x
)
=
x
2
−
4
x
for
0
≤
x
≤
5
0\le x\le5
0
≤
x
≤
5
and define
F
(
x
)
=
∫
2
x
f
(
t
)
d
t
F(x)=\int_{2}^{x} f(t)\,dt
F
(
x
)
=
∫
2
x
f
(
t
)
d
t
. On which interval is
F
F
F
decreasing? a)
(
2
,
4
)
(2,4)
(
2
,
4
)
b)
(
0
,
4
]
(0,4]
(
0
,
4
]
c)
(
0
,
4
)
(0,4)
(
0
,
4
)
d)
(
0
,
2
)
(0,2)
(
0
,
2
)
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