高师理科学刊Issue(3)：17-20,4.DOI:10.3969/j.issn.1007-9831.2015.03.005
对称性在积分计算中的应用规律
Theruleoftheapplicationofsymmetryincalculatingintegral
摘要
Abstract
Using the symmetry of integral domain to simplify integral calculation is one of the priority calculation strategies. If the integral domain is composed of two symmetrical parts,must examine whether the integral domain has directionality first,and then examine whether the value of integrand on the symmetrical points are equal or opposite.The integral twice times reduced to half an integral domain when the integral domain has no directionality and the value of integrand on the symmetrical points are equal.The integral is zero when the integral domain has no directionality and the value of integrand on the symmetrical points are opposite.When the integral domain has directionality,conclusion of integral is just the opposite of the integral domain with no directionality.If the integral domain has translatable symmetry,then the integral value unchanged when the integrand also be done the corresp-onding coordinate translation.关键词
积分域/对称性/方向性/对称点/轮换对称性Key words
integral domain/symmetry/directionality/symmetrical points/translatable symmetry分类
数理科学引用本文复制引用
王庆东,刘磊..对称性在积分计算中的应用规律[J].高师理科学刊,2015,(3):17-20,4.基金项目
国家级特色专业建设点项目 （）
