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Mathematics
Problem
Explain what the definite integral
∫
a
b
r
(
t
)
d
t
\displaystyle\int_{a}^{b} r(t)\,dt
∫
a
b
r
(
t
)
d
t
represents when
r
(
t
)
r(t)
r
(
t
)
is the rate (in liters per minute) at which water enters a tank during the time interval
a
≤
t
≤
b
a\le t\le b
a
≤
t
≤
b
.
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