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Mathematics
Mathematics
Problem
Let
g
g
g
be defined by
g
(
x
)
=
∫
2
x
f
(
t
)
d
t
g(x)=\int_{2}^{x} f(t)\,dt
g
(
x
)
=
∫
2
x
f
(
t
)
d
t
, where
f
f
f
is continuous on
[
2
,
5
]
[2,5]
[
2
,
5
]
. Explain what the quantity
g
(
5
)
−
g
(
2
)
3
\frac{g(5)-g(2)}{3}
3
g
(
5
)
−
g
(
2
)
represents in the context of the function
f
f
f
.
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