Exploring Accumulations of Change
AP Calculus AB · Flashcards · Application
AP CALCULUS AB · FLASHCARDS
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QUESTION
Evaluate
∫
1
2
(
x
2
+
x
)
d
x
\int_1^2 (x^2 + x)\,dx
∫
1
2
(
x
2
+
x
)
d
x
.
QUESTION
What is the integral of
f
(
x
)
=
1
f(x) = 1
f
(
x
)
=
1
from
0
0
0
to
5
5
5
?
QUESTION
What is the integral of
f
(
x
)
=
e
x
f(x) = e^x
f
(
x
)
=
e
x
from
0
0
0
to
1
1
1
?
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ANSWER
∫
0
1
e
x
d
x
=
e
−
1
\int_0^1 e^x\,dx = e - 1
∫
0
1
e
x
d
x
=
e
−
1
. Antiderivative is
e
x
e^x
e
x
, evaluated from 0 to 1 gives
e
−
1
e-1
e
−
1
.
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