摘要
大多关于三角函数的定积分计算可以通过三角函数的变换,采用换元、递推的方法进行求解。旨在将三角函数通过换元变换、递推公式,计算其n次方在[0,π/2]积分区间上积分的结果得到的公式,并进一步推广计算应用。
Most of the calculation of definite integral about trigonometric functions can be solved by the transformation of trigonometric functions with means of substitution and recursion.The purpose is to calculate the formula of the integration of the trigonometric function on the[0,π/2]integral interval by means of the substitution transformation and the recursion formula,and to further extend the calculation and application.
作者
郑宝杰
段宇轩
ZHENG Baojie;DUAN Yuxuan(School of Statistics and Mathematics, Henan Finance University, Zhengzhou 450046, China)
出处
《河南教育学院学报（自然科学版）》
2021年第4期51-54,共4页
Journal of Henan Institute of Education(Natural Science Edition)
基金
河南省高等学校重点科研项目(20A110015)。
关键词
三角函数
定积分
求解
换元法
递推法
trigonometric function
definite integral
solving problem
method of substitution
method of recursion
