辅助函数在定积分中的运用

Application of Auxiliary Function in the Definite Integral

在定积分中,为了求得某些问题的解决,我们经常需要寻找某些证明方法,有的还需要构造与问题相关的辅助函数来研究其性质,从而得出欲证明的结论.构造辅助函数实质上就是分析法的一种技巧,在证明命题的过程中要不断研究问题的本质,从而寻找构造辅助函数的方法.

In order to figure out certain questions in definite integral,we need to seek certain proof method frequently,even create an auxiliary function related to the question to study its nature,thus draws the conclusion.In essence creating an auxiliary function is a skill of the analytic method,and we must unceasingly study the question’s essence in the proposition-proving process,thus seek the method of creating an auxiliary function.