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The rectangle rule is one of the simplest numerical methods for approximating the definite integral of a function. It works by dividing the interval into equal subintervals and approximating the area under the curve using rectangles whose heights are determined by the function value at a chosen point in each subinterval (left endpoint, right endpoint, or midpoint). While easy to implement and computationally fast, the rectangle rule can introduce significant error, especially when the function i
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Riemann sums are a method used to approximate the area under a curve by dividing the interval into smaller sections and summing the areas of rectangles. Each rectangle’s height is determined by the value of the function at a chosen point within the section, and its width corresponds to the length of the section. As the number of rectangles increases and their width decreases, the approximation becomes more accurate, approaching the exact area under the curve. This technique is a fundamental conc
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