[MATH 1ZB3] - Final Exam Guide - Ultimate 30 pages long Study Guide!
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Answer: draw n rectangles of equal width under the curve and sum the areas of these n rectangles. Three ways to draw these rectangles: use left-end points. see textbook page. 370 (figure 6a: use right-end points. see textbook page. 370 (figure 6b: use sample points. see textbook page. The basic idea is that as we increase the number of rectangles, the computed value of the area will approach a certain value. The true area is determined by the formulae: left-end point: a = lim n n. X i=1 f (xi 1) x: right-end point: a = lim n n. X i=1 f (xi) x: sample point: a = lim n f (x i ) x n. X i=1 where x i right-end points. is chosen between left-end and. When the number of rectangles increases, the area of the individual rectangle gets smaller (see textbook pages 372 and 373: figures 8 and 9).
