定积分的应用是新课标高中数学新增的重要内容,也是与高等数学相衔接的内容,其重要应用是求解曲边形的面积,以及在物理学中求位移及力所做的功等,因而此部分内容与生活实际联系密切.在人教A版教材中定积分的引入是采用分割、极限等方法求曲边形的面积, The application of definite integrals is an important addition to mathematics in the new curriculum standard high school mathematics. It is also the content of convergence with higher mathematics. Its important application is to solve the area of ​​curved edges, and to find the displacement and force in physics. Therefore, the content of this part is closely related to the actual life. In the introduction of the definite integral in the teaching materials of the A version of the teaching, the area of ​​the curved edge is obtained by using methods such as segmentation and limit.