Use the Midpoint Rule with four squares of equal size to estimate the double integral.
$$\iint _ { R } \cos \left( x ^ { 4 } + y ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 0.4,0 \leq y \leq 0.4 \}$$

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The Answer of Use the Midpoint Rule with four squares of equal size to estimate the double integral.
$$\iint _ { R } \cos \left( x ^ { 4 } + y ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 0.4,0 \leq y \leq 0.4 \}$$

Use the Midpoint Rule with Four Squares of Equal Size ∬Rcos⁡(x4+y4)dA,R={(x,y)∣0≤x≤0.4,0≤y≤0.4}\iint _ { R } \cos \left( x ^ { 4 } + y ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 0.4,0 \leq y \leq 0.4 \}∬R​cos(x4+y4)dA,R={(x,y)∣0≤x≤0.4,0≤y≤0.4}

Use the Midpoint Rule with Four Squares of Equal Size $\iint _ { R } \cos \left( x ^ { 4 } + y ^ { 4 } \right) d A , R = \{ ( x , y ) \mid 0 \leq x \leq 0.4,0 \leq y \leq 0.4 \}$