Simpson's rule

Simpson's rule is a mathematical method used to estimate the area under a curve, which often represents a total sum or total change. It does this by dividing the curve into segments and approximating each segment with a parabola (a smooth, curved line) instead of a straight line. By measuring the values at the start, middle, and end of each segment, Simpson's rule calculates a more accurate estimate of the total area under the curve. It's especially useful when you have data points and want a reliable approximation without performing complex integrations.