Use the Midpoint Rule with Four Squares of Equal Size $$\iint _ { R } \cos \left( x ^ { 4 } + y ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 0.5,0 \leq y \leq 0.5 \}$$

Multiple Choice

Use the Midpoint Rule with four squares of equal size to estimate the double integral. $$\iint _ { R } \cos \left( x ^ { 4 } + y ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 0.5,0 \leq y \leq 0.5 \}$$

A) $0.575$
B) $0.6622$
C) $0.2499$
D) $0.4721$
E) $0.7622$