Calculus: Integrals, Area, and Volume

Example: Find the area in the region bounded by x = 5 x 1 dx 2 5 dy 0 x y2+1dy +2-0-0 x Area nght of the curve: (Shaded Area) 10 Area under the curve: (Shaded Area) x (x 0 dx The area was found by taking vertical partitions. Area — f (x) dx lim x The area was found by taking horizontal partitions. Area fly) dy lim f(Yi ) ................
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