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Riemann rectangles are a way to approximate the area under a curve by dividing the interval into smaller subintervals and constructing rectangles whose heights correspond to the function’s value at selected points within each subinterval. The width of each rectangle is called “dx” (or Δx), and as dx decreases—meaning the rectangles get thinner—the approximation becomes more accurate. This is because thinner rectangles better conform to the curve’s shape, reducing the amount of overestimation or
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