基于极坐标系的定积分计算

Definite Integral Calculation Based on Polar Coordinate System

定积分应用的一个主要作用是解决实际问题,将实际问题抽象转化为几何模型,通过定积分在几何模型中的应用来求解这一类问题。进一步研究极坐标系下的定积分应用,分析定积分在极坐标系的内在联系,给出几种定积分的公式,可以为几何模型的求解提供总结性和归纳性的方法,有利于进一步拓宽思路,具有一定的参考意义。

One of the main roles of the definite integral is used to solve practical problems.In general,the practical problems will be transformed into geometric models by way of the application of definite integral,so as to solve the problems.It is of reference significance to further study the application of definite integral under the polar coordinate system,to analyze the internal relationship of definite integral and the polar coordinate system,and to offer several integral formulas,which can provide conclusive and inductive methods for solving geometric model.