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

question 127

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) \(\ln ( \sqrt { 2 } - 1 )\)

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