Calculate the Double Integral $$\iint _ { R } \left( 12 x ^ { 2 } y ^ { 3 } - 20 x ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 1,0 \leq y \leq 4 \}$$

Multiple Choice

Calculate the double integral. $$\iint _ { R } \left( 12 x ^ { 2 } y ^ { 3 } - 20 x ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 1,0 \leq y \leq 4 \}$$

A) $310$
B) $240$
C) $290$
D) $270$
E) $250$