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

Calculus Level 3

Let Γ\Gamma denote the graph of f(x)=ln(sec(x))f(x) = \ln(\sec(x)). What is the arclength of the segment of Γ\Gamma bounded by the points (0,0)(0,0) and (π4,ln(2)) \left (\dfrac \pi4, \ln(\sqrt{2})\right)?

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