Determine the exact length of the curve for .

MATHEMATICS · Single correct · AP · Calculus BC · Applications of Integration · Applications of Integration

Problem

Determine the exact length of the curve y=ln⁡∣sec⁡x∣y=\ln|\sec x| for 0≤x≤π40\le x\le \dfrac{\pi}{4}. (a) ln⁡(2)\ln(\sqrt{2}) (b) 2+1\sqrt{2}+1 (c) ln⁡(2+1)\ln(\sqrt{2}+1) (d) ln⁡(2−1)\ln(\sqrt{2}-1)

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