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This video explains how to use the error bounds formula determine for a given value of n when using trapezoid rule approximate definite in. In this video i go over another integral approximation method and time derive the simpson's rule which uses parabolas to estimate area unde. This calculus video tutorial explains how to perform approximate integration using the trapezoidal rule, simpson's and midpoint rule.
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. Error bound formula for midpoint rule, the trapezoid approximate integrals, how to find k, blackpenredpen.
For trapezoidal and simpson's rule approximations definite integrals. In this video i go over a very useful example on applying the simpson's rule error bound formula to determine adequate number of subintervals needed. Here we find the number of partitions, n, that are needed to satisfy a given error tolerance for trapezoidal rule.