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Numerical integration using Newton-Cotes formulas concept

Here we present numerical integration formulas known as Newton-Cotes formulas. You can change "n" value by moving the slider bar. Also it is posible to change integration limits by moving blue points located at x-axis [x_0, x_n]. Two integration calculus are showed, comparing both: approximated (covering all area limited by polinomial interpolation graph and x-axis) and "accurate" (covering all area limited by function graph and x-axis) values.
Move all parameters showed here in the applet, and observe how they change all that appear on graph.