Determine the exact length of the cardioid traced once as varies from to .

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

Problem

Determine the exact length of the cardioid r=1+cos⁡θr=1+\cos\theta traced once as θ\theta varies from 00 to 2π2\pi.

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