对称图形函数的定积分问题研究  

Research into the definite integral of symmetrical diagram function

作　　者：邱香兰[1] 

机构地区：[1]萍乡学院,江西萍乡337000

出　　处：《新余学院学报》2014年第2期20-21,共2页Journal of Xinyu University

摘　　要：对以原点为对称的区间[-a,a]上的奇、偶函数的定积分问题及以点x=a+b/2为对称的一般区间[-a,b]上的对称图形函数的定积分问题作了研究。研究的结论可用于简化计算某些定积分,尤其在简化计算含三角函数的定积分方面显得尤为重要。This paper studies the definite integral of even and odd function in the interval with the original point as the symmetry as well as the definite integral of symmetrical diagram function in the general interval with the point as the symmetry. The research result can simplify the calculation of some definite integral, which is important especially simplifying the calculation of triangular function.

关 键 词：对称区间 对称图形函数 定积分 

分 类 号：O175[理学—数学]