多个函数乘积的不定积分计算

Calculation of indefinite integral of the product of the multiple functions

不定积分的计算一直是高等数学的主要内容,同时也是较难的部分.讨论多个函数乘积作为被积函数的不定积分的计算,在不定积分的计算和理论层面有着重要的意义和应用.通过求不定积分的分部积分法,讨论了3个函数乘积以及任意有限多个函数乘积作为被积函数的不定积分的计算,获得这类不定积分计算的重要结论.

The calculation of indefinite integral is not only one of the main contents of higher mathematics,but also a difficult part.The calculations of indefinite integral of multiple function product as integrand are discussed,which has the great significance and application in the calculation and theory of indefinite integral.When the integrand is a product of three functions or many finite functions,the calculations of indefinite integral are studied by the partial integral method of the calculation of indefinite integral,and some important conclusions of the calculation of this kind of indefinite integral are obtained.