用向量函数求解曲线积分和曲面积分

摘要

In order to calculate the curvilinear integral and surface integral easily, this essay presents space curve and space surface w ith vector functions. T he theorem s of calculation for the first curved line integral and curved surface integral are given and proved. M oreover, the m ethods of using the theorem s are illustrated w ith som e exam ples.%为了方便计算曲线积分和曲面积分，利用向量函数表示空间曲线和空间曲面，给出计算第一类曲线积分和第一类曲面积分的两个定理，并给予详细证明；最后，通过实例分析，说明其应用方法。