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).

Find the area of the region bounded by the graph of the lemniscate r^{2} = 2 cos θ, the origin, and between the rays θ = –π/6 and θ = π/4.

See also

Polar coordinates, area under a curve, area using parametric equations