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 bounded by $y = x ^ { 4 } , x = 5$ , and the $x$ -axis

A) $\bar { x } = \frac { 25 } { 6 } , \bar { y } = \frac { 3125 } { 18 }$
B) $\bar { x } = \frac { 35 } { 12 } , \bar { y } = \frac { 625 } { 18 }$
C) $\bar { x } = \frac { 5 } { 6 } , \bar { y } = \frac { 625 } { 18 }$
D) $\bar { x } = \frac { 25 } { 12 } , \bar { y } = \frac { 3125 } { 36 }$