The Riemann Integral is a method for assigning a number to the area under a curve represented by a function over a specific interval. It is based on partitioning the interval into smaller subintervals, calculating the sum of the areas of rectangles formed at specified sample points within those subintervals, and taking the limit as the width of these subintervals approaches zero. This concept is fundamental in calculus and analysis, as it bridges the gap between geometric intuition and rigorous mathematical definitions.
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