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CalculusSuperchallengeParametric, Polar and Vector-Valued Functions

Parametric, Polar and Vector-Valued Functions · Superchallenge problem

A particle moves with position r(t)=⟨ln⁡(1+t2), 2arctan⁡t⟩\mathbf r(t)=\big\langle \ln(1+t^{2}),\ 2\arctan t\big\rangle. Find the total distance traveled on 0≤t≤10\le t\le 1.