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Mathematics
Mathematics
Problem
The function
f
f
f
is negative on the open interval
(
2
,
5
)
(2,5)
(
2
,
5
)
. Let
g
(
x
)
=
∫
0
x
f
(
t
)
d
t
g(x)=\displaystyle\int_{0}^{x} f(t)\,dt
g
(
x
)
=
∫
0
x
f
(
t
)
d
t
. Describe whether
g
g
g
is increasing or decreasing on
(
2
,
5
)
(2,5)
(
2
,
5
)
and briefly state why.
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