AP Calculus AB Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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For
f
(
x
)
=
3
x
+
1
f(x)=3x+1
f
(
x
)
=
3
x
+
1
on
[
2
,
6
]
[2,6]
[
2
,
6
]
, what is the average value of
f
f
f
on the interval?
A
f
(
4
)
f(4)
f
(
4
)
B
1
4
∫
2
6
f
(
x
)
d
x
\dfrac{1}{4}\int_2^6 f(x)\,dx
4
1
∫
2
6
f
(
x
)
d
x
C
∫
2
6
f
(
x
)
d
x
\int_2^6 f(x)\,dx
∫
2
6
f
(
x
)
d
x
D
f
(
2
)
+
f
(
6
)
2
\dfrac{f(2)+f(6)}{2}
2
f
(
2
)
+
f
(
6
)
E
13
13
13
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