一类含参变量积分的常差分方程计算方法

The Calculational Method of Ordinary Difference Equations about a Class of Integrals with Parameters

首次利用常差分方程方法计算了一类形如∫0πa+co bs cnoxs xdx(n∈N,a,b∈R)的含非负整数参数n与实数a,b的积分,且得到了完整的积分公式.

A class of integrals with parameters such as ∫^n 0 （cos nx/a＋b cos x ）dx （n∈N,a,b∈R）are calculated by means of the method of ordinary difference equations for the first time, and the full integral formula is given.