Arclength Of Graph Of \(\ln(\sec(x))\)

Calculus Level pending

Let \(\Gamma\) denote the graph of \(f(x) = \ln(\sec(x))\). What is the arclength of the segment of \(\Gamma\) bounded by the points \((0,0)\) and \( \left (\dfrac \pi4, \ln(\sqrt{2})\right)\)?

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