摘要
本文利用二重积分的变量变换和欧拉积分推导了曲面ax2 m+by2n+cz2p=1(m,n,p∈N+,a,b,c>0)所围立体的体积公式.
By using Euler integral and the technique of changing variables of double integral, this paper obtaina more generalized result about the volume of the region enclosed by the surfaceax2m＋by2n＋cz2p=1（m,n,p∈N＋;a,b,c〉0）.
出处
《高等数学研究》
2015年第2期41-42,共2页
Studies in College Mathematics
关键词
体积
面积
欧拉积分
volumn
area
Euler integral
