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Simpson's Rule

Simpson's Rule

A method for approximating a definite integral Definite integral notation: the integral from a to b of f(x) dx using parabolic approximations of f. The parabolas are drawn as shown below.

To use Simpson's rule follow these two steps:

Two-step Simpson's Rule: partition [a,b] into n equal subintervals (n even), then integrate using...
Graph of y=f(x) with shaded region from x₀=a to x₄=b divided into subintervals of width Δx, approximated by parabolas....

 

See also

Partition, definite integral, trapezoid rule