MATH 1225 Lecture Notes - Lecture 8: Summation, Riemann Sum
9 Aug 2018
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5. 1 areas and distances: summation and sigma notation: n. 1 n a n a i b i a i b i n. 1 i n a i n b i. 1 i n n a i b i. The area and distance problems: given the graph of a continuous function on the interval . How do we find the area between the curve and: given f is continuous on . Ba, into n equal parts, each part has the length. Using left endpoints, is the estimation underestimate: the approximation area using left endpoints is. Using right endpoints, is the estimation underestimate or overestimate: the approximation area using right endpoints is. 2,1 endpoints. is divided into n equal parts. Question: suppose the function is not always increasing or decreasing. Ex: estimate the area under the graph of and lower estimations for the area. xf. Ex: the table shows the speed of a car at 3-minute intervals during a 15-minute period.
