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Math 270 Week 1 Lab # 1 With Solved Sums

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Math 270 Week 1 Lab # 1 Topics: While the integral fills an area with an infinite number of rectangles and sums the areas to get an exact area under a curve, there are many methods for finding an app ... roximate area under a curve as well. We will look at three methods, the first of which was already studied in Calculus I; Riemann Sums. The other two methods are the Trapezoidal Rule and Simpson’s Rule. While Riemann Sums fill the area with rectangles, the Trapezoidal Rule fills the area with trapezoids, and Simpson’s Rule uses rectangular-like shapes but has parabolic ‘tops’. All three of these methods find the area of each geometric shape and adds them up to obtain the approximate area. [Show More]

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