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CalculusMediumParametric, Polar and Vector-Valued Functions

Parametric, Polar and Vector-Valued Functions · Medium problem

Points AA and BB lie on the cardioid r=1+cos⁡θr=1+\cos\theta at θ=π3\theta=\dfrac{\pi}{3} and θ=−π3\theta=-\dfrac{\pi}{3}, and OO is the pole. Find the area of triangle OABOAB.