Abstract: Base on the linear relationship of curvature and moment, adding the moment of unknown reactions to the moment of section of beam ,both the slops and the deflection equations can be obtained by integration, in witch the constants of integration and unknown reactions can be evaluated from boundary conditions and continuity conditions, the slops and deflection equations and equations are also obtained. The working expands the scope of application of traditional integration method. Teaching practice has showed that using integration to calculate the deformation of statically indeterminate beam is good in helping students to learn boundary value problems of solid mechanics.