含参量积分的若干解法  

Several methods for calculating parameter integrals

作　　者：林智华 陆芳玲 李德权 LIN Zhi-hua;LU Fang-ling;LI De-quan(School of Mathematics and Big Data,Anhui University of Science and Technology,Huainan 232001,China)

机构地区：[1]安徽理工大学数学与大数据学院

出　　处：《高师理科学刊》2019年第10期73-76,共4页Journal of Science of Teachers＇College and University

基　　金：安徽省大学生创新创业项目(S201910361206)

摘　　要：总结含参量积分的若干种求解方法,通过例题介绍了求解含参量积分的一般方法,并给出了使用对参量的微分法中需要注意的问题.阐述变量代换法、微分方程法、收敛因子法和级数法等4种特殊方法求解含参量积分.Several methods for solving parametric integrals are summarized,the general methods for solving parametric integrals are introduced through examples,and some problems that should be paid attention to in the differential method for parameters are given.Expounded four special methods for solving parametric integrals,such as variable substitution method,differential equation method,convergence factor method and series method.

关 键 词：含参量积分 微分法 变量代换法 微分方程法 收敛因子法 级数法 

分 类 号：O172.2[理学—数学] G642.0[理学—基础数学]