Lectures related to Functions xr on [1, +∞]

Covers advanced topics in analysis, focusing on integrals, functions, and their properties.

Discusses generalized fine increments, function evaluation, theorems, and derivative applications.

Covers the definition and properties of integrals of type 2.

Covers the estimation of integrals using various propositions and demonstrations.

Explores the Cauchy-Schwarz inequality in integrals and functions, offering a comprehensive understanding of its applications.

Explores differentiating under the integral sign and continuity of functions in integrals.

Covers the definition and calculation of integrals of type 3.

Covers limits, continuity, and the intermediate value theorem in functions.

Explores continuity and derivability in heat analysis, emphasizing uniform convergence and mathematical proofs.

Covers the concept of continuity, providing examples and definitions of continuous functions.