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Mathematics
Mathematics
Problem
In one clear sentence, explain how the definite integral
∫
a
b
v
(
t
)
d
t
\int_{a}^{b} v(t)\,dt
∫
a
b
v
(
t
)
d
t
is connected to the displacement of a particle that moves with velocity
v
(
t
)
v(t)
v
(
t
)
on the interval
[
a
,
b
]
[a,b]
[
a
,
b
]
.
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