一类三角函数有理分式定积分  

A Definite Integral of Rational Trigonometric

作　　者：李天竹 LI Tianzhu(School of General Education,Dalian Neusoft University of Information,Dalian 116023,China)

机构地区：[1]大连东软信息学院基础教学学院,辽宁大连116023

出　　处：《高等数学研究》2023年第6期55-57,共3页Studies in College Mathematics

摘　　要：本文对定积分I_(n)=∫π/20 sin^(n)_(x)/sin x+cos x d x(n=0,1,2,…)进行了分析,给出了该积分的两个性质,并通过定积分公式等知识对I_(n)进行了简化求解,降低了计算的复杂度.In this paper,the definite integral I_(n)=∫π/20 sin^(n)_(x)/sin x+cos x d x(n=0,1,2,…) is analyzed and two properties of the integral are given.The integral I_(n) is solved in a simplified way by using the definite integral formula and other knowledge,which reduces the computational complexity.

关 键 词：三角函数 定积分 

分 类 号：O172.2[理学—数学]