👉 Simpson's Math, also known as Simpson's Theorem, is a fundamental result in mathematical analysis that provides a method for approximating the definite integral of a function over an interval. It states that for sufficiently smooth functions and a sufficiently large number of subintervals (or partitions), the integral can be approximated by summing up areas of trapezoids formed between the function values at the interval's endpoints and midpoints. This approximation becomes exact when the number of subintervals is a multiple of four and the function is sufficiently smooth (typically continuous and differentiable). The theorem is particularly useful for numerical integration, offering a powerful tool for estimating integrals that are difficult or impossible to compute analytically.
