浅谈不定积分中凑微分法和分部积分法的运用技巧

摘要

Improvising differential method and the subsection integral method are two important methods which apply to the integral formed as ∫f(fx)g(x)dx,but there exists the process of improvising differential,so students are easy to be confused.In view of this situation,this paper proposes a easy and fast four-step method,helping students to quickly find the right integral,so as to solve problems accurately.%凑微分法和分部积分法是求解不定积分的两种重要方法,这两种方法都适用于形如乙∫f（x）g（x）dx的积分,都有凑微分的过程,学生容易混淆。针对这种情况,本文提出了一种简单、快速、易于学生掌握的方法——＂拆＂、＂判＂、＂选＂、＂凑＂四步法,帮助学生快速找到正确的积分方法和要凑的微分因子,从而达到快速、准确解题的目的。