![Simpsons Rule approximates the integral of a function f(x) on the interval [a, b] according to the following formula: with h](https://media.cheggcdn.com/media%2Fdd4%2Fdd484878-cdc6-4b00-9e6f-aa2405987ed2%2FphpGdBcaP.png)
![Your Function 1 function I-simpson(f,a,b,n) 2%| SIMPSON(f, a, b,n) approximates the integral of the function f 3 %over [a,b]](https://media.cheggcdn.com/media%2Fc10%2Fc10e8579-3c21-4c6c-9c8b-e5da8888075b%2Fphp8djWlg.png)
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Simpson’s Rule approximates the integral of a function f(x) on the interval [a, b] according to the following formula: with h(b-a)/n. This approximation is in general more accurate than the trapezoidal rule. The increased accuracy of Simpson’s rule is due to the fact that, while the trapezoidal rule approximates
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