一个不定积分问题的延伸

The Extension of an Indefinite Integral Problem

用多种方法研究一个不定积分问题,并进一步研究了其在两个方面的延伸问题,为学生提供了解决问题的技巧和考虑问题的方式方法,该方法可用来解决一大类积分问题.

This paper studies an indefinite integral problem and its two extension problems with many different methods,which provide students with problem-solving skills and ways of thinking about the problem. The methods used in the paper can be used to solve a large class of integral problems.