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Lecture

# 6.1 Areas Between Curves Overview

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

Description
6.1 Integral Applications Area Between Two Functions: Overview For two continuous functions and where for all over the interval [ ], the area between two functions is given by: ∫ [ ] This is approximated by: ∑ [ ] ∑ [ ] , where represents the top function and the bottom function. Thus, the estimating rectangles have the of [ ] and the of . 1) To evaluate the area bound by two functions where a specified interval is not given, then first the points of intersection between two functions must be determined in order to establish the interval. For any two given functions, there must be at least two points of intersection. These relate to the beginning and the ending points which set the interval to be [ ]. 2) Next from two functions, the one that lies at the top and bottom need t
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