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Integration by substitution
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Related lectures (32)
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Compound Functions: Development and Analysis
Covers the development and analysis of compound functions and the importance of analyzing the larger term in power series.
Integration Techniques: Fundamental Theorems and Methods
Discusses integration techniques, focusing on integration by parts and substitution methods, with practical examples and theoretical insights.
Optimal Transport: Analysis IV
Explores optimal transport, integration theorems, proof strategies, and function applications in multiple dimensions.
Definition of Definite Integral
Explains the definition of the definite integral and the independence of subdivisions.
Fundamental Theorem of Calculus
Covers the fundamental theorem of calculus, immediate integration, and properties of derivatives, with examples of integration by substitution.
Generalized Integrals: Bounded Interval
Introduces generalized integrals on a bounded interval, discussing convergence, divergence, comparison criteria, variable substitution, and corollaries.
Advanced Analysis II: Derivatives and Functions
Covers the review of derivatives and functions, including the concept of chain rule and graphical representation.
Twisted Partition Function: Instanton Pre-factor
Explores the instanton pre-factor, twisted partition function, and zero mode integration.
Integration of Rational Functions
Covers the integration of rational functions and partial fraction decomposition, explaining how to handle complex roots.
Examples of Generalized Integrals
Explores examples of generalized integrals, including techniques like integration by parts and change of variable.
Integration Techniques: Change of Variable
Covers integration techniques, focusing on the change of variable formula and exercises on integration by parts and rational functions.
Derivability and Composition of Functions
Explores derivability and function composition with examples.
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