摘要
定积分在计算不规则图形的面积、体积及线长时具有重要作用,其中元素法充分体现了定积分的思想,是一种能很好的解决某些量计算的重要方法,确定积分元素是其关键.积分元素依据满足元素法应用条件的有效近似方法而确定,文中结合实例,针对元素法的应用条件,探讨了函数在直角坐标,参数形式及极坐标下的有效近似方法.
Definite Integral plays an important part in computation of the area,volume and long line of irregular solid. Infinitesimal method fully demonstrates the concept of definite integral and it is an important method to calculate some certain amount. The key point is to determine the integral elements. Integral element is on the basis of the effective approximation method that could meet the application conditions of infinitesimal method to determine. Based on some examples,this paper explores approximate method of functions under rectangular coordinate,parameter equation and parlor coordinate in accordance with the the application conditions of infinitesimal method.
出处
《湖北理工学院学报》
2016年第6期45-47,共3页
Journal of Hubei Polytechnic University
关键词
定积分
元素法
积分元素
有效近似
definite integral
infinitesimal method
integral element
effective approximation
