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take home quiz 1 - (used in 6a) is a much closer estimate...

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Brian Lubnow 7. Problems 3 and 5 are two different way to find the value of the integral on a given interval. Using both the definition of the definite integral and the Fundamental Theorem of Calculus calculate exact values of the integral. Problems 6a and 6b are ways to approximate the area under a curve, and the value of the definite integral. In this case, and in most cases, the midpoint rule
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Unformatted text preview: (used in 6a) is a much closer estimate than the left hand rule (used in 6b). This is true because if you look at the graphs of both methods, the midpoint rule clearly comes closer to the actual area under the curve....
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