Find the Center of Mass of a Thin Plate of Constant

Multiple Choice

Find the center of mass of a thin plate of constant density covering the given region.
-The region in the first and fourth quadrants enclosed by the curves $y = \frac { 4 } { 1 + x ^ { 2 } }$ and $y = \frac { - 4 } { 1 + x ^ { 2 } }$ and by the lines $x = 0$ and $x = \sqrt { 3 }$

A) $\bar { x } = \frac { \ln 4 } { \pi } , \bar { y } = 0$
B) $\bar { x } = \frac { 2 \pi } { 3 \ln 4 } , \bar { y } = 0$
C) $\bar { x } = \frac { 3 \ln 4 } { 2 \pi } , \bar { y } = 0$
D) $\bar { x } = 0 , \bar { y } = \frac { \ln 4 } { \pi }$