AP Calculus BC Quiz
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APPLICATIONS OF INTEGRATION
Question 1
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Let
R
R
R
be bounded by
y
=
x
y=x
y
=
x
and
y
=
0
y=0
y
=
0
on
0
≤
x
≤
1
0\le x\le1
0
≤
x
≤
1
; revolving about
y
=
3
y=3
y
=
3
, which setup is correct?
A
V
=
π
∫
0
1
(
3
−
x
)
2
d
x
V=\pi\displaystyle\int_{0}^{1}(3-x)^2\,dx
V
=
π
∫
0
1
(
3
−
x
)
2
d
x
B
V
=
π
∫
0
1
(
(
3
−
x
)
2
−
3
2
)
d
x
V=\pi\displaystyle\int_{0}^{1}\big((3-x)^2-3^2\big)\,dx
V
=
π
∫
0
1
(
(
3
−
x
)
2
−
3
2
)
d
x
C
V
=
π
∫
0
1
(
3
2
−
(
3
−
x
)
2
)
d
x
V=\pi\displaystyle\int_{0}^{1}\big(3^2-(3-x)^2\big)\,dx
V
=
π
∫
0
1
(
3
2
−
(
3
−
x
)
2
)
d
x
D
V
=
π
∫
0
1
x
2
d
x
V=\pi\displaystyle\int_{0}^{1}x^2\,dx
V
=
π
∫
0
1
x
2
d
x
E
V
=
π
∫
0
1
(
(
3
−
0
)
2
−
(
3
−
x
)
2
)
d
x
V=\pi\displaystyle\int_{0}^{1}\big((3-0)^2-(3-x)^2\big)\,dx
V
=
π
∫
0
1
(
(
3
−
0
)
2
−
(
3
−
x
)
2
)
d
x
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