Let be the boundary surface of the box enclosed by the planes x = 0,  x = 2, y=0, y = 4, z =0 and z= 6 Approximate {{S e0.1xyz dS by using a Riemann sum asin Defi ni tion 1, taking the patches to be the rectanglesthat are the faces of the box and the points to be thecenters of the rectangles.

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A: ∫abfxdx≈∆x2fx0+2fx1+2fx2+..+2fxn-1+fxn Where ∆x=b-an and xi=a+i∆x, i=0,1,2,..,n

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A: Since it is a period even function, now follow the steps below.

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A: We will use definition of argument principle

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