4.2 The Definite Integral



The area problem is described. A general procedure based on the method of accumulations is described for finding the area under a curve and above an interval. The definite integral is defined and introduced.

By the end of your studying, you should know:

On-screen applet instructions: Use the pull-down menu to choose the number of subintervals and hence rectangles.


Write the following sum in sigma notation:

Consider the function

Is it possible to find the area between this function and the x axis?


using the limits of Riemann sums.


Riemann Sums


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See Exercises for 4.2 The Definite Integral (PDF).

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4.1 Modeling Accumulations Table of Contents 4.3 Properties of the Definite Integral

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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel