定积分应用中的思政元素探究
The Exploration of Ideological and Political Elements in the Application of Definite Integral

本文从定积分应用中求一般图形的面积、由平行截面面积求体积以及求曲线弧长三个方面探究了其中所蕴含的马克思唯物主义辩证法、我国古代数学家的研究成果及历史古迹等思政元素，从而提高学生分析问题和解决问题的能力，同时培养学生的爱国情怀和“工匠”精神。
In this paper, we explore ideological and political elements, such as Materialist dialectics of Marx doctrine, research achievements of ancient mathematicians of China, historical sites in China, which hide in three aspects of the application of definite integral: computing the area of a general figure, computering the volume by Parallel sectional area and computering arc length of curve. These ideological and political elements can improve students’ ability to analyze and solve problems, and cultivate students’ feelings of patriotism as well as a craftsman spirits.