02 Area Bounded by the Lemniscate of Bernoulli r^2 = a^2 cos 2θ
Example 2
Find the area bounded by the lemniscate of Bernoulli r2 = a2 cos 2θ.
Polar Area
01 Area Enclosed by r = 2a sin^2 θ
Example 1
Find the area enclosed by r = 2a sin2 θ.
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Plane Areas in Polar Coordinates | Applications of Integration
The fundamental equation for finding the area enclosed by a curve whose equation is in polar coordinates is...
$\displaystyle A = \frac{1}{2}{\int_{\theta_1}^{\theta_2}} r^2 \, d\theta$