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For trapezoidal and simpson's rule approximations definite integrals. In this video i go over an incredibly long proving the error bound formula for simpson's rule integration approximation method. In this video i go over another very detailed and extensive proof time for the error bound formula midpoint rule approximating int.
This video explains how to use the error bounds formula determine for a given value of n when using simpson's rule approximate definite integr. Error bound formula for midpoint rule, the trapezoid approximate integrals, how to find k, blackpenredpen. Here we find the number of partitions, n, that are needed to satisfy a given error tolerance for trapezoidal rule.
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. This calculus video tutorial explains how to perform approximate integration using the trapezoidal rule, simpson's and midpoint rule. This video explains how to determine n meet a given accuracy using the trapezoid rule.