AP Calculus BC Quiz
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PARAMETRIC, POLAR, AND VECTOR FUNCTIONS
Question 1
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A region is enclosed by
r
=
2
θ
r=2\theta
r
=
2
θ
for
0
≤
θ
≤
π
0\le\theta\le\pi
0
≤
θ
≤
π
. Which integral represents its area?
A
1
2
∫
0
π
(
2
θ
)
2
d
θ
\displaystyle \frac12\int_{0}^{\pi} (2\theta)^2\,d\theta
2
1
∫
0
π
(
2
θ
)
2
d
θ
B
∫
0
π
(
2
θ
)
2
d
θ
\displaystyle \int_{0}^{\pi} (2\theta)^2\,d\theta
∫
0
π
(
2
θ
)
2
d
θ
C
1
2
∫
0
π
2
θ
d
θ
\displaystyle \frac12\int_{0}^{\pi} 2\theta\,d\theta
2
1
∫
0
π
2
θ
d
θ
D
1
2
∫
0
2
π
(
2
θ
)
2
d
θ
\displaystyle \frac12\int_{0}^{2\pi} (2\theta)^2\,d\theta
2
1
∫
0
2
π
(
2
θ
)
2
d
θ
E
1
2
∫
−
π
π
(
2
θ
)
2
d
θ
\displaystyle \frac12\int_{-\pi}^{\pi} (2\theta)^2\,d\theta
2
1
∫
−
π
π
(
2
θ
)
2
d
θ
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