Find the Centroid of the Region Bounded by the Given $$y = 2 \sin 5 x , y = 0 , x = 0 , x = \frac { \pi } { 5 }$$

Multiple Choice

Find the centroid of the region bounded by the given curves. Select the correct answer.
$$y = 2 \sin 5 x , y = 0 , x = 0 , x = \frac { \pi } { 5 }$$

A) $( 0.3146,1.5708 )$
B) $( - 0.6283,1.5708 )$
C) $( 0.2513,0.6283 )$
D) $( - 0.3146,0.7854 )$
E) $( 0.6283,0.3146 )$