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An example of Riemann sums for the integral ${\displaystyle {\int }_{-2}^2\frac{1}{5}(\frac{1}{100}(322+3x(98+x(37+x)))-24\frac{x}{1+x^2})dx,}$ 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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