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

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