In the Riemann sum formula, we find an approximation of a region's area under a curve on a graph, commonly known as integral. Riemann's sum introduces a precise definition of the integral as the limit of a series that is infinite. Approximating the region's area of lines or functions on a graph is a very commonly used application of the Riemann sum formula. Riemann's sum formula is also used for curves. The idea of calculating the sum is obtained by adding up the areas of multiple simplified slices of the region, the general shapes that are used as multiple simplified slices of the region are rectangle, squares, parabolas, cubics, etc. Let us learn about the Riemann sum formula and a few solved examples in the upcoming sections.
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