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 $\rho ( x , y ) = 4 y$.

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The Answer of 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 $\rho ( x , y ) = 4 y$.

Find the Mass and the Center of Mass of the Lamina