Simpson's Method

Simpson's Method is a numerical technique used to approximate the area under a curve, which is useful when integrating a function that’s difficult to calculate exactly. It works by dividing the total interval into an even number of smaller segments, then fitting quadratic (parabolic) curves through these points to estimate the area. This method combines the values of the function at those points, applying specific weights to improve accuracy. Overall, Simpson’s Method provides a more precise approximation than simpler techniques like the trapezoidal rule, especially when the function is smoothly curved.