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CLP-2 I

CLP-2 I NTEGRAL C ALCULUS. Joel F ELDMAN Andrew R ECHNITZER Elyse Y EAGER. T HIS DOCUMENT WAS TYPESET ON T UESDAY 31 ST A UGUST, 2021. Legal stuff Copyright c 2017 2021 Joel Feldman, Andrew Rechnitzer and Elyse Yeager. This work is licensed under the Creative Commons Attribution-NonCommercial- ShareAlike International License. You can view a copy of the license at Links to the source files can be found at the text webpage 2. C ONTENTS. 1 Integration 1. Definition of the Integral .. 1. Optional A More Rigorous Area Computation .. 9. Summation Notation .. 12. The Definition of the Definite Integral .. 16. Using Known Areas to Evaluate Integrals.

area as a combination of simpler geometric objects such as triangles, rectangles or circles. So rather than trying to write down the area exactly, our strategy is to approximate the area and then make our approximation more and more precise 1 .

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