Let S be the surface of the box enclosed by the planes x = 1, y =
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Let S be the surface of the box enclosed by the planes x = ±1, y = ±1, z = ±1. Approximate ʃʃS cos(x + 2y + 3z) dS by using a Riemann sum as in Definition 1, taking the patches Sij to be the squares that are the faces of the box S and the points Pij* to be the centers of the squares.
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The box is a cube where each face has surface area 4 The cen...View the full answer
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