The paper discussed the method which present the integral function by three-point interpolation , construction of trapezium integral formula and Simpson integral formula. The adaptive step size three-point interpolation integral algorithm is proposed.

• 本文利用三点插值函数近似表达被积函数,构造梯形求积公式和simpson求积公式,并在此基础上提出了一种快速数值积分的新算法,即自适应步长三点插值型数值积分算法。