Find the exact length of the curve for .

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

Problem

Find the exact length of the curve

y=\ln(\cos x)

for

0\le x\le \dfrac{\pi}{4}

. (a)

1

(b)

\sqrt{2}+1

(c)

\ln(\sqrt{2}+1)

(d)

\ln 2