重积分和线面积分中的一个典型题目

A Typical Surface Integral Problem and Multiple Integral

针对授课班级出错率较高的一道曲面积分题目,给出四种解法.分析出错的原因在于练习不够外,主要是对重积分概念理解不够透彻.

Four approaches to solve a surface integral with high fallible rate amount students are given. Lack of practices is a reason for the fallible rate, but not having a deep and thorough understanding of the concept of multiple integral is the main cause.