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Lecture

5.1 Integration & Anti-derivatives Area Estimate Under a Function: Overview

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School
University of Toronto St. George
Department
Mathematics
Course
MAT136H1
Professor
all
Semester
Winter

Description
5.1 Integration & Anti-derivatives Area Estimate Under a Function: Overview Area approximation is given as: ∑ - Using the left endpoints, the area approximation is: ∑ - Using the right endpoints, the area approximation is: ∑ - Using the midpoints, the area approximation is: ∑ ̅ , where ̅ is the midpoint of each subinterval [ , so that ̅ [ ] This represents the sum of rectangles of equal width under the curve over the interval . As the number of rectangles increase, the sum of the areas get
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