Show that the length of the arc of the curve \( y=\log \cot \mathrm{h} \frac{x}{2} \) between th...

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Show that the length of the arc of the curve \( y=\log \cot \mathrm{h} \frac{x}{2} \) between the points \( \left(x_{1}, y_{1}\right),\left(x_{2}, y_{2}\right) \) is \( \log \frac{\sinh x_{2}}{\sinh x_{1}} \).
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