Explain why integrating only from to is sufficient to determine the entire area…

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Explain why integrating only from θ=0\theta = 0 to θ=π2\theta = \tfrac{\pi}{2} is sufficient to determine the entire area enclosed by the circle given by r=4cos⁡θr = 4\cos\theta.

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