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Calculating Areas in Polar Coordinates

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Explanations 1

Given a polar curve in the form r=f(θ)r = f(\theta)r=f(θ), we typically want to calculate the area that it "sweeps out" as a point goes from θ1\theta_1θ1 to θ2\theta_2θ2. For …
By Calvin Lee, Moor Xu

Problems 1

The graph of the polar equation r=2+cos⁡2θr = 2+\cos{2\theta}r=2+cos2θ and its reflection over the line y=xy=xy=x bound five regions in the plane. Let AAA be the area of the reg…