关于不定积分的常用概念及特征分析

Analysis on the Normal Character and Defination of Indefinite Integral

不定积分的计算是微积分中的重要一环,熟练掌握不定积分的概念和正确选用不定积分的方法是实施不定积分的关键。本文对不定积分的常用概念进行了梳理,对三种常用不定积分方法:第一类换元积分法、第二类换元积分法、分部积分法的特征进行了分析,以供参考。

The indefinite integral calculation is one important sector in calculus. Meanwhile, having a good knowledge of the concept of the indefinite integral and selecting and using the indefinite integral method in the right way, is the key to put the indefinite integral calculates into practice. This article has sorted out the data of indefinite integral concept in common use, and has analyzed the features of three methods of indefinite integral in common use ： the first substitution method of integration, the second substitution method of integration, and integration by parts.