Admittedly, the notion of generalized integrals in one parameter has a fundamental role. En virtue that, in this paper, we discuss and characterize an approach for to promote the visualization of this scientific mathematical concept. We still indicate the possibilities of graphical interpretation of formal properties related to notion of convergence/divergence. Moreover, supported by technology, we show the relations between the class of functions z = f (x, y) and y = f (t, x) related to the two and three-dimensional spaces. At the end, we propose a visual criterion for the recognition and perception of graphical-dynamic properties provided by the Dynamic System Geogebra-DSG and the Computer Algebraic System-CAS Maple. Finally, our perspective indicates the visualization as an important cognitive component for the teaching and the learning at the academic level.