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File:Riemann sum convergence.png

Summary

Description Show convergence of Riemann sum for all sample position choices as intervals shrink
Date 4 July 2007
Source self-made using text editor, rendered by GLIPS Graffiti
Author KSmrq
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Comment

An example of Riemann sums for the integral \int_{-2}^{2} \tfrac15 \left( \tfrac{1}{100}(322 + 3 x (98 + x (37 + x))) - 24 \frac{x}{1+x^2} \right) dx , sampling each interval at right (blue), minimum (red), maximum (green), or left (yellow). Convergence of all four choices to 3.76 occurs as number of intervals increases from 2 to 10 (and implicitly, to ∞).


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Attribution: I, KSmrq
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