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Area Between Polar Curves
Worksheet
Grade Level
Calculus II
CAL2.109 Area Between Polar Curves
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The curves r = 1 + 3 cos θ and r = 1 meet at θ = -π/2 and θ = π/2. Which integral represents the right-side area inside r = 1 + 3 cos θ and outside r = 1?
A
∫_{-π/2}
π/2
[(1 + 3 cos θ)
2
- (1)
2
] dθ
B
(1/2)∫_{-π/2}
π/2
[(1)
2
- (1 + 3 cos θ)
2
] dθ
C
(1/2)∫_{0}
π
[(1 + 3 cos θ)
2
- (1)
2
] dθ
D
(1/2)∫_{-π/2}
π/2
[(1 + 3 cos θ)
2
- (1)
2
] dθ
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