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This video shows how to calculate the smallest value n guarantee a certain error. In this video i go over a very extensive proof of the error bound formula for trapezoidal rule integration approximation method. For trapezoidal and simpson's rule approximations definite integrals.
Here we find the number of partitions, n, that are needed to satisfy a given error tolerance for trapezoidal rule. This video shows how to calculate the smallest value n guarantee a certain error. Error bound formula for midpoint rule, the trapezoid approximate integrals, how to find k, blackpenredpen.