\ensuremath{\int}_a^b f(x) {\rm d}x = \lim_{n \ensuremath{\rightarrow} \ensuremath{\infty}} h \ensuremath{\sum}_{j=1}^n f(x_j) where $x_j = a+jh$ are evenly spaced ...
Abstract: Integration is a smoothing operation, and numerical integration is, in its essence, a stable operation. Many formulas (or rules) exist. The most basic of these is the so-called rectangular ...
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