{b-a}{6}}\left[f(a)+4f\left({\frac {a+b}{2}}\right)+f(b)\right]} 該方法由英國數學家托馬斯·辛普森(英语:ThomasSimpson)所創立。 V = h ( a + 4 b + c ) 6 {\displaystyle V={\frac {h(a+4b+c)}{6}}}
Sheldrick(英语:George M. Sheldrick) Sheila Sherlock(英语:Sheila Sherlock) Thomas James Simpson Adrian Frederick Melhuish Smith(英语:Adrian Smith (statistician)) Mandyam