Newton-Leibniz公式的推广

Extension of Newton- Leibniz＇s formula

给出了计算定积分的Newton-Leibniz公式的推广：把f（x）在[a，b]上连续减弱为f（x）在[a，b]上可积，把F’（s）=f（x）在[a，b]上成立减弱为在[a，b]上除有限个点外成立F’（x）=f（x）．同时建立了计算广义积分与二重积分的Newton-Leibniz公式．

This paper provides the extension of Newton--Leibniz＇s formula for calculating definite integral - continuously reducing f（ x） on [a, b] into integrability of f（ x） on [a, b] and the tenability of F＇（x）=f（x） on [a,b] into the tenability of F＇（x）=f（x） on [a,b] except a limited number of points, and meanwhile establishes Newton-Leibniz＇s formula for calculating improper integral and double integral.