An Electric Charge Is Spread Over a Rectangular Region $R = \{ ( x , y ) \mid 0 \leq x \leq 3,0 \leq y \leq 4 \} .$

Multiple Choice

An electric charge is spread over a rectangular region $R = \{ ( x , y ) \mid 0 \leq x \leq 3,0 \leq y \leq 4 \} .$ Find the total charge on R if the charge density at a point $( x , y )$ in R (measured in coulombs per square meter) is $\sigma ( x , y ) = x ^ { 2 } + 4 y ^ { 3 }$

A) $804$ coulombs
B) $91$ coulombs
C) $300$ coulombs
D) $265$ coulombs