AP Calculus BC Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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The region bounded by
x
=
2
y
+
1
x=2y+1
x
=
2
y
+
1
,
x
=
0
x=0
x
=
0
, and
0
≤
y
≤
2
0\le y\le 2
0
≤
y
≤
2
is revolved about the y-axis; which integral is correct?
A
π
∫
0
2
(
2
y
+
1
)
2
d
y
\pi\int_{0}^{2} (2y+1)^2\,dy
π
∫
0
2
(
2
y
+
1
)
2
d
y
B
π
∫
0
2
(
2
y
+
1
)
d
y
\pi\int_{0}^{2} (2y+1)\,dy
π
∫
0
2
(
2
y
+
1
)
d
y
C
π
∫
0
5
(
2
y
+
1
)
2
d
x
\pi\int_{0}^{5} (2y+1)^2\,dx
π
∫
0
5
(
2
y
+
1
)
2
d
x
D
π
∫
0
2
(
2
x
+
1
)
2
d
x
\pi\int_{0}^{2} (2x+1)^2\,dx
π
∫
0
2
(
2
x
+
1
)
2
d
x
E
2
π
∫
0
2
(
2
y
+
1
)
2
d
y
2\pi\int_{0}^{2} (2y+1)^2\,dy
2
π
∫
0
2
(
2
y
+
1
)
2
d
y
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