Question: Let F(x, y) = x1exy. Show that 2 F/x y = yexy and use the result of Exercise 52 to evaluate for R =
Let F(x, y) = x−1exy. Show that ∂2F/∂x ∂y = yexy and use the result of Exercise 52 to evaluate 
for R = [1, 3] × [0, 1].
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].
SSR" yexy da
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