Find the Length of the Curve $y=2 \ln \left(\sin \frac{x}{2}\right), \frac{\pi}{5} \leq x \leq \pi$

question 67

Multiple Choice

Find the length of the curve. $y=2 \ln \left(\sin \frac{x}{2}\right) , \frac{\pi}{5} \leq x \leq \pi$

• A) \(\ln (2+\sqrt{5})\)
• B) \(\ln (\sqrt{5})\)
• C) \(\ln (5)\)
• D) \(\ln (2 \sqrt{5})\)
• E) None of these

---

Definitions:

Population Growth

The increase in the number of individuals in a population, determined by factors such as birth rates, death rates, and migration patterns.

Economic Development

The method through which a nation, region, or local community enhances its economic prosperity and standard of living to meet specific aims and objectives.

World Population

The total number of human inhabitants of the planet Earth at a given time, estimated by demographers.

Human Resources

The personnel of a business or organization, especially when regarded as a significant asset.