• 教学讨论 •

### 再谈由留数定理求解的两类无穷积分

1. 浙江海洋大学 信息工程学院物理系，浙江  舟山316022
• 收稿日期:2022-02-19 修回日期:2022-03-23 出版日期:2022-09-20 发布日期:2022-09-30
• 通讯作者: 黄文涛，E-mail: huangwt@zjou.edu.cn
• 作者简介:周运清（1976—），男，湖北监利人，浙江海洋大学物理系副教授，博士，主要从事理论物理教学与研究工作.
• 基金资助:
浙江省教育厅项目、浙江海洋大学课程思政项目资助

### Further discussion on two types of infinite integral treated by residue theorem

ZHOU Yun-qing，HUANG Wen-tao

1. Department of physics，School of Information Engineering，Zhejiang Ocean University，Zhoushan Zhejian 316022，China
• Received:2022-02-19 Revised:2022-03-23 Online:2022-09-20 Published:2022-09-30

Abstract:  Inspired by the article［1］，this paper discusses two kinds of infinite integrals solved by residue the-orem again． Firstly，some characteristics of the two kinds of integrals are analyzed concisely． By combing and sim-plifying the method in the article［1］，the two kinds of integrals are processed with the residue theorem，and the re-sults are obtained when they are greater than 1 and are integers． Then，the two kinds of integrals are recalculated by the method of the residue theorem of multivalued function，the results are obtained when they are greater than 1， and the results are briefly explained． Through the treatment of integral by two methods，we can experience the beau-ty of residue theorem，expand students’vision and enhance their enthusiasm for learning，and lay a good founda-tion for their subsequent courses．