Find the Maximum Value Of $\int _ { C _ { 1 } } y ^ { 3 } d x + \left( 225 x - x ^ { 3 } \right) d y , \text { where } C \text { is any closed curve }$

Multiple Choice

Find the maximum value of $\int _ { C _ { 1 } } y ^ { 3 } d x + \left( 225 x - x ^ { 3 } \right) d y , \text { where } C \text { is any closed curve }$ in the xy-plane, oriented counterclockwise.

A) $\frac { 3357 \pi } { 2 }$
B) $\frac { 4293 \pi } { 2 }$
C) $\frac { 3807 \pi } { 2 }$
D) $\frac { 3843 \pi } { 2 }$
E) $\frac { 2907 \pi } { 2 }$