Accumulation Functions, Definite Intervals, Applied Contexts
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What does the definite integral
∫
a
b
r
(
t
)
d
t
\int_a^b r(t)\,dt
∫
a
b
r
(
t
)
d
t
represent in economics?
QUESTION
Find
∫
0
2
(
x
2
+
3
)
d
x
\int_0^2 (x^2 + 3)\,dx
∫
0
2
(
x
2
+
3
)
d
x
.
QUESTION
How does
∫
a
b
f
(
x
)
d
x
\int_a^b f(x)\,dx
∫
a
b
f
(
x
)
d
x
change if
a
a
a
and
b
b
b
are swapped?
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ANSWER
It becomes
−
∫
b
a
f
(
x
)
d
x
-\int_b^a f(x)\,dx
−
∫
b
a
f
(
x
)
d
x
. Reversing limits changes sign.
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