Accumulation Functions, Definite Intervals, Applied Contexts
AP Calculus AB · Flashcards
AP CALCULUS AB · FLASHCARDS
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QUESTION
What is the physical interpretation of the integral
∫
a
b
F
(
x
)
d
x
\int_{a}^{b} F(x) \, dx
∫
a
b
F
(
x
)
d
x
where
F
(
x
)
F(x)
F
(
x
)
is force?
QUESTION
What does
∫
a
b
P
′
(
t
)
d
t
\int_{a}^{b} P'(t) \, dt
∫
a
b
P
′
(
t
)
d
t
represent if
P
(
t
)
P(t)
P
(
t
)
is population?
QUESTION
What does the integral
∫
0
T
E
(
t
)
d
t
\int_{0}^{T} E(t) \, dt
∫
0
T
E
(
t
)
d
t
measure in terms of electricity usage?
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ANSWER
Total electricity used up to time
T
T
T
. Usage rate integration gives total consumption.
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