Arclength Of r=1/θr = 1/\theta

Calculus Level 4

Consider the polar curve with equation r=1θr = \dfrac1\theta. What is the length of the arc traced by this curve as θ\theta (measured in radians) varies from 1 to 2?

A plot of the polar curve \(r = \dfrac1\theta\). A plot of the polar curve r=1θr = \dfrac1\theta.

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