This paper addresses a problem from the eighth National College Students'Mathematics Compe-tition(Final)in 2016.Utilizing the formulas of spherical coordinates,Gauss's theorem,parameter equa-tions of surfaces,and the integration by parts formula for triple integrals,we present four methods to solve the problem.
关键词
球坐标/高斯公式/曲面的参数方程/分部积分公式
Key words
spherical coordinates/Gauss formula/parameter equation of surface/integration by parts