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

Question

Quizplus · Accepted Answer

The Answer of 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

Find the Length of the Curve y=2ln⁡(sin⁡x2),π5≤x≤πy = 2 \ln \left( \sin \frac { x } { 2 } \right) , \frac { \pi } { 5 } \leq x \leq \piy=2ln(sin2x​),5π​≤x≤π

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