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 \(r = \dfrac1\theta\).

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

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