摘要
对于形如∫eαx[P1 (x) cosβx +Pn(x) sinβx]dx的不定积分 ,求解过程非常繁锁 .考虑到被积函数及其原函数的特点 ,这里分别讨论几种非常规性的求解方法 ,即比较系数法、分部积分的列表法和复数法 ,以开阔学生的思路 ,培养学生综合应用所学知识的能力 .
It is very troublesome to solve the indefinite integrals of the ∫e αx [P 1(x)cosβx+P n(x)sinβx]dx Type.Several unconventional methods are discussed in this article,in consideration of the characteristics of the integral function and the original function,such as the coefficient comparison method,the graphics and complex-number method of multiple-step integral.Purpose here is expend the students' thinking and develop the students' ability of synthetically employing knowledge.
出处
《雁北师范学院学报》
2002年第2期79-82,共4页
Journal of Yanbei Teachers College
关键词
不定积分
比较系数法
列表法
复数法
indefinite integrals,coefficient comparison method,graphics,complex-number method
