Generalized Integrals: Bounded Interval

This lecture covers the concept of generalized integrals on a bounded interval, where a function f is defined on [a, b[ and is continuous. The lecture explains how to define the generalized integral using limits, and discusses convergence and divergence criteria based on the existence of limits. It also introduces the comparison criterion for functions on different intervals and demonstrates the application of variable substitution in integrals. The lecture concludes with corollaries related to convergence and divergence criteria for continuous functions on specific intervals.