高等数学习题的多种解法及其价值探析——以一道三重积分的几种解法为例

Analysis on the Solution and Value of Higher Mathematics Exercises——Taking Several Solutions of a Triple Integral as an Example

该文首先介绍了一道三重积分在直角坐标、柱面坐标和球坐标下的几种计算方法,并在每个方法后给出了三重积分计算问题的适用范围。最后给出了学好数学需要注意的问题。

In this paper,several calculation methods of triple integral in rectangular coordinate,cylindrical coordinate and spherical coordinate are introduced,and the applicable range of triple integral calculation problem is given after each method.Finally,the problems that should be paid attention to in learning mathematics well are given.