# Arclength Of $$r = 1/\theta$$

Calculus Level 4

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

A plot of the polar curve $$r = \dfrac1\theta$$.

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