MTH 161 Lecture Notes - Lecture 23: Riemann Sum, Equipartition Theorem, Antiderivative
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Provide a generalization to each of the key terms listed in this section. Let"s say you have a function, which is normally f (x), is actually continuous on a closed interval, which is normally the following: One of the general ways to estimate the area that"s under a graph on a closed interval is by using n rectangles. The equi-partition of [a, b], which are also known as the mesh points, deal with the width of each of the subintervals. If n would be the number of subintervals, then the following would be the following width of each of the rectangles: If you let c1 be any possible point while on the ith subinterval, which would be the following: Whenever you deal with continuous functions while having n is increasing while without bounds so that the riemann sum for f (x) while approaching a xed value that help denoting the following:
