Find the Area of the Region Bounded by the Graphs $f ( y ) = y ^ { 2 } + 12 , \quad g ( y ) = 0 , \quad y = - 12 , \quad y = 13$

Multiple Choice

Find the area of the region bounded by the graphs of the algebraic functions. $f ( y ) = y ^ { 2 } + 12 , \quad g ( y ) = 0 , \quad y = - 12 , \quad y = 13$

A) $A = \frac { 3097 } { 3 }$
B) $A = \frac { 2414 } { 3 }$
C) $A = \frac { 4825 } { 3 }$
D) $A = \frac { 3097 } { 6 }$
E) $A = \frac { 4828 } { 3 }$