Accumulation Functions, Definite Intervals, Applied Contexts
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Find
A
(
x
)
A(x)
A
(
x
)
given
f
(
t
)
=
e
t
f(t) = e^t
f
(
t
)
=
e
t
and
a
=
0
a = 0
a
=
0
.
QUESTION
Evaluate
∫
0
4
(
x
3
−
2
x
)
d
x
\int_0^4 (x^3 - 2x)\,dx
∫
0
4
(
x
3
−
2
x
)
d
x
.
QUESTION
Find
∫
0
2
(
x
2
+
3
)
d
x
\int_0^2 (x^2 + 3)\,dx
∫
0
2
(
x
2
+
3
)
d
x
.
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ANSWER
∫
0
2
(
x
2
+
3
)
d
x
=
26
3
\int_0^2 (x^2 + 3)\,dx = \frac{26}{3}
∫
0
2
(
x
2
+
3
)
d
x
=
3
26
. Using
[
x
3
3
+
3
x
]
0
2
[\frac{x^3}{3} + 3x]_0^2
[
3
x
3
+
3
x
]
0
2
.
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