微积分基本定理的推广——曲线积分基本定理及其应用

Generalization of the Fundamental Theorem of Calculus——The Basic Theorem of Curve Integral and its Application

微积分是高等数学的重要组成部分,包括极限、微分学、积分学及其应用,属于数学基础学科.微积分计算方式属于变化率理论的一部分,能够使函数、速度以及加速度和曲线斜率通过符号表示,并计算出结果,该研究对微积分作出简要介绍,着重对曲线积分基本定理以及应用进行分析,实现简化运算的目标.

Calculus is an important part of Higher Mathematics,including Limit,Differential Calculus,Integral and its application.The calculating method of Calculus is a part of the Theory of Change Rate,which can represent the function,the slope of the curve,the velocity and the acceleration through the sign,and calculate the exact result.In this study,the calculus is introduced briefly,and the basic theorem and application of curve integral are analyzed in order to realize the goal of simplified operation.