A function that calculates the approximate value of the definite integral of a continuous function. In other words, it can help plot the area under the curve of the plotted function between two limits.
A vector of the values at which the function is to be plotted.
A vector with the values of the function at the corresponding x-values.
A single numerical value of the approximate area under the curve generated with the x and y values.
Compared to the trapezoidal algorithm, this is usually more accurate.
Hennion, P.E.(1962). Algorithm 84: Simpson's integration. Communications of ACM. 5(4), 208
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