探究无穷限广义积分的计算方法

Research on the Calculation Method of Infinite-limited Generalized Integral

在微积分的学习中,无穷限广义积分是一个重要的概念,在求解时方法多样.通过运用等量代换、二重积分、Laplace变换、概率统计等相关知识,对无穷限广义积分求解方法进行探讨,并结合例题对不同的运算技巧进行分析,从而解决不同类型无穷限广义积分的求值问题.

In the study of calculus,infinite-limited generalized integral is an important concept,and there are various methods in solving it.By using the knowledge of equal quantity substitution,double integral,Laplace transformation,probability statistics and so on,this paper discusses the solution method of infinite generalized integral,and analyzes different operation techniques with examples,so as to solve the evaluation of different types of infinite-limited integral.