一类被积函数为cosx·cos2x的不定积分问题的探讨  

Discussion on a Class of Indefinite Integral Problems Whose Integrand Is cosx·cos2x

作　　者：高冬冬 金红 蒋诗泉 

机构地区：[1]铜陵学院数学与计算机学院,安徽 铜陵

出　　处：《应用数学进展》2021年第8期2875-2880,共6页Advances in Applied Mathematics

摘　　要：本文主要介绍了一类被积函数为的不定积分问题的求解方法并证明了在不同的方法求解下所得到的任意两个原函数之间只相差一个常数;有效地回答了在适当的假设下,任意两个原函数是等价的结论。最后,我们给出了被积函数为情形下不定积分的原函数的表达式。This paper mainly introduces the solution of a class of indefinite integral problems with the integrable function , and proves that there is only one constant difference between any two arbitrary functions obtained by different methods. The conclusion that any two arbitrary functions are equivalent under the appropriate assumption is effectively answered. Finally, we give the expression of the original function of indefinite integral when the integrable function is .

关 键 词：第一换元积分法 第二换元积分法 分部积分法 

分 类 号：O17[理学—数学]