MATH 14 Lecture 8: Math 14 Lecture 8_ Double Integrals over rectangles Sect 15.1
2 Feb 2019
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Math 14 lecture 8: double integrals over rectangles sect 15. 1. Area under the curve f (x) b a lim. X 0 (n 0) (x)dx n i = 1 f (x ) x i. Figure 1 : before taking the volume under the surface (x, y). Volume under the surface (x, y) f f. 2 out of 9 f (x, y) da. Y 0 n i = 1 m j = 1 f (x , y ) x y i i. Figure 2: now we draw in the volume under the surface (x, y). f. This holds even if r isn"t a rectangle: m, mass of a 2-d object r (in 2-d space) p m (t his is a 2 d object) kg. M = i j mij i j pij. A (x , y ) pij = p i j m = . 5 out of 9 x x xi p a ij j i i j pij.
