{"title":"在一个简单的闭合路径上计算包含正弦和余弦的积分","authors":"H. Chae, Hwajoon Kim","doi":"10.12988/IJMA.2015.5396","DOIUrl":null,"url":null,"abstract":"Residues are used in an neat and practical integration method. In this article, we have checked the evaluation of integrals involving sine and cosine on a simple closed path, and the proposed idea results from residue integration in complex variables. Mathematics Subject Classification: 30A99","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The evaluation of integrals involving sine and cosine on a simple closed path\",\"authors\":\"H. Chae, Hwajoon Kim\",\"doi\":\"10.12988/IJMA.2015.5396\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Residues are used in an neat and practical integration method. In this article, we have checked the evaluation of integrals involving sine and cosine on a simple closed path, and the proposed idea results from residue integration in complex variables. Mathematics Subject Classification: 30A99\",\"PeriodicalId\":431531,\"journal\":{\"name\":\"International Journal of Mathematical Analysis\",\"volume\":\"9 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/IJMA.2015.5396\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/IJMA.2015.5396","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The evaluation of integrals involving sine and cosine on a simple closed path
Residues are used in an neat and practical integration method. In this article, we have checked the evaluation of integrals involving sine and cosine on a simple closed path, and the proposed idea results from residue integration in complex variables. Mathematics Subject Classification: 30A99