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 $\sigma ( x , y ) = x ^ { 2 } + 4 y ^ { 3 }$ .
Select the correct answer.

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