利用积分区域的对称性求解几类特殊的黎曼积分  

Using the Symmetry of Integral Region to Solve Some Special Riemann Integrals

作　　者：杜超雄 DU Chao-xiong(School of Mathematics,Changsha Normal University,Changsha,Hunan 410100,China)

机构地区：[1]长沙师范学院数学科学学院,湖南长沙410100

出　　处：《教育教学论坛》2020年第52期283-284,共2页Education And Teaching Forum

基　　金：湖南省教改项目(湘教通〔2019〕291号1144);湖南省教育厅重点项目(18A525)。

摘　　要：黎曼积分作为积分学的重要组成部分,其计算方法多,不少问题计算难度大。如能够利用积分区域的对称性和积分函数的性质进行计算,将简化运算过程,降低计算难度,对提高学生的计算能力和计算兴趣有较大帮助。As an important part of Integral Calculus,Riemann integral has many calculation methods and many problems are difficult to calculate.If the symmetry of the integral region and the properties of the integral function can be used to calculate,the operation process will be simplified,the difficulty of calculation will be reduced,and it will be of great help to improve the students’ computing ability and interest in calculation.

关 键 词：黎曼积分 积分区域的对称性 函数的奇偶性 

分 类 号：O172.2[理学—数学]