Generalized Integrals: Convergence and Divergence

This lecture covers the concept of generalized integrals, focusing on determining convergence or divergence. The instructor explains the criteria for convergence, using examples with functions that are not continuous at certain points or on unbounded intervals. Various techniques, such as comparison and change of variables, are demonstrated to evaluate integrals. The lecture also discusses the importance of understanding the behavior of functions near singular points and the application of the comparison theorem. Examples involving rational functions and trigonometric integrals are provided to illustrate the theoretical concepts.