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Area Using Polar Coordinates
Polar Integral Formula

The area between the graph of r = r(θ) and the origin and also between the rays θ = α and θ = β is given by the formula below (assuming α β).

 Formula: Example: Find the area of the region bounded by the graph of the lemniscate r2 = 2 cos θ, the origin, and between the rays θ = –π/6 and θ = π/4.