曲线曲面积分中利用对称性及曲线曲面方程化简

Simplification of Curvilinear and Surface Integrals with Symmetry,Curvilinear,and Surface Equations

证明了曲线曲面积分中有关对称性的两个命题,并举例说明了命题结论在一些特殊类型曲线曲面积分计算中的应用.还探讨了在对坐标的曲线积分及曲面积分中利用曲线方程或曲面方程化简的问题.

We establish two results about symmetry in curvilinear integral and surface integral,and illustrate their application in the calculation of some special problems.The simplifications of curvilinear integral and surface integral with curvilinear and surface equations are discussed.