quiz 6

Question 1

definition of a double integral over a rectangle

Answer 1

……………………..…..m n
∫∫ f(x,y)dA = lim​ ∑ ∑​f(x_i^∗_j​,y_j^∗_j​)ΔA_ij
R m,n→∞ i=1 j=1

Question 1

what’s fubini’s thrm over a rectangle in R^2 such that R = [a,b] x [c,d]?

Answer 1

………………. b d d b
∫∫ f(x,y)dA = ∫ ∫ f(x,y)dydx = ∫ ∫ f(x,y)dxdy
R a c c a