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Mathematics
Problem
Let
g
(
x
)
=
∫
3
x
f
(
t
)
d
t
g(x)=\displaystyle\int_{3}^{x} f(t)\,dt
g
(
x
)
=
∫
3
x
f
(
t
)
d
t
for a continuous function
f
f
f
. Write an explicit integral expression for
g
(
8
)
−
g
(
5
)
g(8)-g(5)
g
(
8
)
−
g
(
5
)
in terms of
f
f
f
.
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