概率思想在计算实无穷积分中的应用

Computing the Real Infinite Integrals with the Idea of Probability

将概率的基本思想,应用在计算实无穷积分中,结果表明该方法与小圆弧引理相比,计算更为方便简单、适用范围更为广泛.文章分三部分:首先讲述小圆弧引理及其局限性;接着介绍概率基本思想在计算实无穷积分中的应用及其优越之处;最后是总结我们的工作并展望未来的工作.

To apply the basic idea of probability to the computing of real infinite integrals, to find that this method is more simple, convenient and widely used than the Small Arc Lemma. This paper is organized as following： Firstly the Small Arc Lemma and its shortcomings are introduced. Secondly we will talk about the computing of real infinite integrals using the basic idea of probability and its advantages. The final part is our conclusions and outlooks.