AP Calculus BC Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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Which integral sets up the volume when the region between
y
=
3
−
x
y=3-x
y
=
3
−
x
and
y
=
1
y=1
y
=
1
on
[
0
,
2
]
[0,2]
[
0
,
2
]
is revolved about the
x
x
x
-axis?
A
π
∫
0
2
[
(
1
)
2
−
(
3
−
x
)
2
]
d
x
\pi\displaystyle\int_{0}^{2}\big[(1)^2-(3-x)^2\big]dx
π
∫
0
2
[
(
1
)
2
−
(
3
−
x
)
2
]
d
x
B
π
∫
0
2
[
(
3
−
x
)
2
−
(
1
)
2
]
d
x
\pi\displaystyle\int_{0}^{2}\big[(3-x)^2-(1)^2\big]dx
π
∫
0
2
[
(
3
−
x
)
2
−
(
1
)
2
]
d
x
C
π
∫
0
2
[
(
2
−
x
)
2
]
d
x
\pi\displaystyle\int_{0}^{2}\big[(2-x)^2\big]dx
π
∫
0
2
[
(
2
−
x
)
2
]
d
x
D
π
∫
1
3
[
(
3
−
x
)
2
−
(
1
)
2
]
d
x
\pi\displaystyle\int_{1}^{3}\big[(3-x)^2-(1)^2\big]dx
π
∫
1
3
[
(
3
−
x
)
2
−
(
1
)
2
]
d
x
E
π
∫
0
2
[
(
3
−
x
−
1
)
2
−
(
0
)
2
]
d
x
\pi\displaystyle\int_{0}^{2}\big[(3-x-1)^2-(0)^2\big]dx
π
∫
0
2
[
(
3
−
x
−
1
)
2
−
(
0
)
2
]
d
x
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