AP Calculus AB Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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Find the volume setup: base bounded by
y
=
2
x
y=2x
y
=
2
x
and
y
=
x
2
y=x^2
y
=
x
2
for
0
≤
x
≤
2
0\le x\le 2
0
≤
x
≤
2
, semicircular cross sections perpendicular to the
x
x
x
-axis.
A
∫
0
2
π
8
(
2
x
−
x
2
)
d
x
\displaystyle \int_{0}^{2} \frac{\pi}{8}\,(2x-x^2)\,dx
∫
0
2
8
π
(
2
x
−
x
2
)
d
x
B
∫
0
2
π
8
(
2
x
−
x
2
)
2
d
x
\displaystyle \int_{0}^{2} \frac{\pi}{8}\,(2x-x^2)^2\,dx
∫
0
2
8
π
(
2
x
−
x
2
)
2
d
x
C
∫
0
2
π
(
2
x
−
x
2
)
2
d
x
\displaystyle \int_{0}^{2} \pi\,(2x-x^2)^2\,dx
∫
0
2
π
(
2
x
−
x
2
)
2
d
x
D
∫
0
2
1
2
(
2
x
−
x
2
)
2
d
x
\displaystyle \int_{0}^{2} \frac12\,(2x-x^2)^2\,dx
∫
0
2
2
1
(
2
x
−
x
2
)
2
d
x
E
∫
0
2
3
4
(
2
x
−
x
2
)
2
d
x
\displaystyle \int_{0}^{2} \frac{\sqrt3}{4}\,(2x-x^2)^2\,dx
∫
0
2
4
3
(
2
x
−
x
2
)
2
d
x
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