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

---

Definitions:

Society's Interests

The collective preferences and priorities of a community or society, often influencing policy and decision-making.

Self-Interest

The motivating force in economics that drives individuals to pursue their goals in a way that is most beneficial to them.

Risk Management

The process of identifying, assessing, and prioritizing risks followed by the application of resources to minimize, control, or eliminate the impact of unforeseen events.

Command Economies

Command economies are economic systems where the government or a central authority makes all decisions regarding the production and distribution of goods and services.