浅谈微积分与概率模型的交互应用
A Brief Discussion on the Interaction Application of Calculus and Probability Models

微积分作为高等数学中的一个基础学科，主要研究函数的微分、积分以及有关概念和应用。本文主要探讨微积分与概率模型的交互应用，一方面，积分在概率论中起到了至关重要的角色，能够使我们更好地理解和分析连续型随机变量的分布和性质；另一方面，应用概率模型中的性质、定理同样可以解决复杂积分和极限求解问题。
Calculus, as a fundamental subject in advanced mathematics, primarily studies the differentiation, integration, and related concepts and applications of functions. This paper mainly explores the interactive application of calculus and probability models. On one hand, integration plays a crucial role in probability theory, enabling us to better understand and analyze the distribution and properties of continuous random variables. On the other hand, the properties and theorems of probability models can be used to solve complex integration and limit solving problems.