Find the Arc Length of the Curve $y = \ln ( \cos x ) , 0 \leq x \leq \frac { \pi } { 3 }$

Multiple Choice

Find the arc length of the curve $y = \ln ( \cos x ) , 0 \leq x \leq \frac { \pi } { 3 }$ .

A) $\ln ( 2 + \sqrt { 2 } )$
B) $\ln ( 1 + \sqrt { 3 } )$
C) $\ln ( 2 - \sqrt { 2 } )$
D) $\ln ( 2 - \sqrt { 3 } )$
E) $\ln ( 1 + \sqrt { 2 } )$
F) $\ln ( 2 + \sqrt { 3 } )$
G) $\ln ( \sqrt { 3 } - 1 )$
H) $\ln ( \sqrt { 2 } - 1 )$