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Here we find the number of partitions, n, that are needed to satisfy a given error tolerance for trapezoidal rule. Left, right, and midpoint riemann sums), but it can also be by trapezoids. Error bound formula for midpoint rule, the trapezoid approximate integrals, how to find k, blackpenredpen.
The area under a curve is commonly approximated using rectangles (eg. Video uploaded from my mobile phone. In this video we go over the process of approximating definite integrals using right riemann sums, left midpoint and trapezoidal.