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A sum and an integral are both ways of accumulating quantities, but they operate in slightly different settings. A sum adds up a finite or countable collection of discrete values, like adding the areas of several rectangles or summing terms in a sequence. For example, when you compute a Riemann sum, you divide an interval into pieces and add up the areas of rectangles under a curve. Integration takes this idea to the limit. Instead of adding a fixed number of rectangles, you let the number of pi
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