simpson在matlab

Simpson's rule is a numerical integration method used in Matlab to approximate the definite integral of a function. The general syntax for using Simpson's rule in Matlab is:

integral = integral(@(x) f(x), a, b, 'Method', 'Simpson');

Where `f(x)` is the function to be integrated, `a` and `b` are the lower and upper limits of integration, and `'Method', 'Simpson'` specifies that Simpson's rule should be used.

Alternatively, you can use the `quad` function in Matlab, which automatically selects the appropriate integration method based on the properties of the function being integrated. To use Simpson's rule with `quad`, you can specify the method as follows:

integral = quad(@(x) f(x), a, b, [], [], 'Simpson');

Again, `f(x)` is the function to be integrated, and `a` and `b` are the lower and upper limits of integration. The additional empty brackets `[]` specify that the default tolerance and maximum number of function evaluations should be used.