대학수학에서 적분을 이용한 무한급수의 합

In this paper, we show how to determine upper and lower bounds of the sum of infinite series by using equivalent integral representations. Also with the help of Mathematics, we calculated and confirmed the approximating sum. This includes a number of less well-known examples and such teaching methods using many examples provide the students with a good motivation to learn more about the relationship between infinite series and integrals. In addition, by encouraging the students to investigate other examples, we can lead the students to develop further their interest in this subject.