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

question 96

Multiple Choice

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

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

---

Definitions:

Labor Union

Group of workers who have banded together to achieve common goals in the areas of wages, hours, and working conditions.

Effective Tools

Instruments or methodologies that have been proven to efficiently accomplish a task or achieve a specific outcome.

Union Contract

A legally binding agreement between a union representing employees and their employer, outlining wages, working conditions, and other employment terms.

Grievance

Formal complaint filed by an employee or a union that management is violating some provision of a union contract.