Sunday, August 5, 2012

Area Under the Curve

The applet below shows the relationship among the area under the curve, the lower sum, and the upper sum. As the number of rectangles (n) increases, the sum of the areas of the rectangles get closer and closer to the actual area under the curve.
This is a Java Applet created using GeoGebra from www.geogebra.org - it looks like you don't have Java installed, please go to www.java.com
Guillermo Bautista Jr. , Created with GeoGebra

The method of approximation above is called the Riemann Sum. It was named after Bernhard Riemann, a German mathematician. 

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