求原函数的待定积分法

To-be-determined Integration for Primary Function

提出一种求连续函数的原函数的方法──待定积分法指出将原函数用有限个已知可做函数线性表示的可能性，以及利用逐次求导法，选择基本表出函数组，确定附加表出函数组。

This paper proposes a method for solving the pritnary function of the continuous function-to-be-determined integration. It points out the possibiliy of linear representation of primary function by using limited known differentiable functions and chooses basic representation function groups by successive derivating method to decide appending representation function group and decrease the number of appending representation functions. With this method, one can deduct more general integration formulas from more extensive functions.