Find the Mass and the Center of Mass of the Lamina

Short Answer

Find the mass and the center of mass of the lamina occupying the region $R$ , where $R$ is the region bounded by the graphs of $y = \sin 6 x , y = 0 , x = 0$ , and $x = \frac { \pi } { 6 }$ , and having the mass density $\rho ( x , y ) = 4 y$ .