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Mathematics
Problem
In one or two sentences, explain why
∫
a
b
r
(
t
)
d
t
\displaystyle\int_{a}^{b} r(t)\,dt
∫
a
b
r
(
t
)
d
t
gives the net change of a quantity whose instantaneous rate of change is
r
(
t
)
r(t)
r
(
t
)
on the interval
[
a
,
b
]
[a,b]
[
a
,
b
]
.
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