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Area Enclosed by a Polar Curve
Worksheet
Grade Level
Calculus II
CAL2.108 Area Enclosed by a Polar Curve
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Which setup gives the total area swept by both loops of r = 2 + 4 cos(theta) over one full tracing?
A
(1/2) ∫_{2π/3}
4π/3
(2 + 4 cos(θ))
2
dθ
B
(1/2) ∫_{0}
2π
(2 + 4 cos(θ))
2
dθ
C
(1/2) ∫_{-2π/3}
2π/3
(2 + 4 cos(θ))
2
dθ
D
(1/2) ∫_{0}
2π
(2 + 4 cos(θ)) dθ
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