积分中值定理的推广及其应用

Extension and Application of the Integral Mean Value Theorem

本文将积分中值定理推广到曲线积分和曲面积分上，得到了相应的曲线积分和曲面积分的中值定理，并给出了证明，最后列举了应用。

In this paper, the integral mean value theorem is extended to the curve integral and surface intergal, and obtained the corresponding mean value theorm of the curve integral and surface integral. Their proof and some eaxmples of application are given.