Find a function F(x, y) satisfying and use the result of Exercise 52 to evaluate for R
Question:
Find a function F(x, y) satisfying 
and use the result of Exercise 52 to evaluate 
for R = [0, 1] × [0, 4].
Data From Exercise 52
Prove the following extension of the Fundamental Theorem of Calculus to two variables: If ∂2F/∂x ∂y = ƒ(x, y), then
where R = [a, b] × [c, d].
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