Bounding the error approximating the integral
When approximating an integral using rectangles we commit an error. In some cases, for example, in monotonic functions, we can limit the magnitude of the error. Using refined partitions we obtain as small bounds of the error as we want.
In the applet it is possible to modify the curve and the ends of integration, to increase or to diminish the number of rectangles, to show the committed error and a bound of that error. We can see an animation about that.
REFERENCES
Markushevich - Áreas y logaritmos. Ed. Mir.
LINKS
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