Integration of discrete data which have a non-linear relationship

In the https://www.mathworks.com/help/matlab/math/integration-of-numeric-data.html documentation page, it is noted that non-linear behavior between the discrete data points being integrated could result in inaccuracy when trapz is used. Is there a better function call to use for such an instance, instead?

Answer 1

[Anton Semechko]

Numerical integration based on Simpson's rule provides greater accuracy than integration using trapezoidal rule. Here is an implementation of Simpson's rule from Matlab's Central File Exchange: Simpson's rule for numerical integration