Lectures related to Integration by substitution

Integration Techniques: Change of Variable and Integration by Parts

Explores advanced integration techniques such as change of variable and integration by parts to simplify complex integrals and solve challenging integration problems.

Fundamental theorems of calculus and computing techniques

Explores fundamental theorems of calculus and techniques for computation, including integration by parts and substitution.

Integration Techniques: Partial Integration and Substitution Rule

Covers integration techniques like partial integration and substitution rule, providing step-by-step explanations.

General Mathematics I - Integration Techniques

Covers integration techniques like parts and substitution with illustrative examples.

Integration Techniques: Change of Variable

Covers the formula for changing variables in integration and explores indefinite integrals with trigonometric substitutions.

Integration: more examples and rational functions

Covers antiderivatives, fundamental theorems, integration techniques, and rational functions.

Properties of Integrals: Techniques and Applications

Explores properties of integrals and techniques for calculation.

Integration by Parts: Taylor Series Development

Explains integration by parts and Taylor series development for finding explicit formulas and understanding term orders.

Functional Determinants and Gelfand-Yaglom Theorem

Explores functional determinants and the Gelfand-Yaglom theorem through detailed mathematical calculations and asymptotic behavior analysis.

Integration by Parts

Covers integration by parts, including practical applications and mnemonic aids.

Integral Techniques: Change of Variable

Covers integration techniques with a focus on substitution and verification through examples.

Differentiability and Partial Derivatives

Explores differentiability in two variables and the chain rule for compositions.

Example Type 3

Covers changing variables in integrals with a focus on exponential functions.

Improper integrals: Techniques and Examples

Covers examples of integration by substitution and rational functions.

Integration by Substitution

Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.

Improper integrals: Techniques and Examples

Covers improper integrals techniques and examples, exploring convergence and absolute convergence.

Green-Riemann Formulas

Covers the Green-Riemann formulas and their applications in evaluating integrals and solving differential equations.

Exact Linearization: Integrator Chain Stabilization

Discusses exact linearization in integrator chains for stabilization and control.

Integration Techniques: Change of Variable

Explores integration by substitution technique with examples and verification.

Fundamental Theorem of Calculus: Integrability, Anti-derivatives, Integration by Parts

Covers integrability, anti-derivatives, and integration by parts in calculus.