The introduction of several important inequality in the primary,differentiation and the integration of these three forms,in their search for evidence of the ideological structure and organic unity; And give these kids some applications in other areas.Which introduces kids and their extension to the primary form of the Riemann integral forms can store and then to be accumulated under the Lebesgue integral form and find the links between these three forms of proof and provement. The introduction of several important inequality in the primary,differentiation and the integration of these three forms,in their search for evidence of the ideological structure and organic unity; And give these kids some applications in other areas.Which introduces kids and their extension to the primary form of the Riemann integral forms can store and then to be accumulated under the Lebesgue integral form and find the links between these three forms of proof and provement.