一类函数积分的矩阵表示及其推广

运用分部积分法和矩阵运算将一类函数的原函数用矩阵的形式表示,并在此基础上利用欧拉公式将另一类函数的原函数也用矩阵的形式表示,本文方法不仅可以简便快捷地计算此类函数的原函数,而且容易掌握,还能为求自由项与此类函数相同的线性微分方程的特解提供解题依据.

Matrix Representation and Promotion of Integral of a Class of Functions

In the report, the subsection integral method and matrix operations were used to represent the primi- tive of a class of functions with the matrix, and on which Euler＇ s Formula was used to deduce the primitive of another class of functions in the form of matrix. This method is not only simple to calculate the primitive of these functions and easy to be grasped by user, but can also provide a basis for seeking the free term and the special solution of linear differential equations similar to such functions.