Tangent half-angle substitution

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Related lectures (32)

Page 2 of 4

Generalized Integrals: Bounded Interval

Introduces generalized integrals on a bounded interval, discussing convergence, divergence, comparison criteria, variable substitution, and corollaries.

Examples of Integrals

Covers various examples of integrals, emphasizing trigonometric substitutions and techniques.

Solving Recurrences and Recursion Trees

Covers techniques for solving recurrences and introduces the Master Theorem.

Fundamental Theorem of Calculus

Covers the fundamental theorem of calculus, immediate integration, and properties of derivatives, with examples of integration by substitution.

Integration Techniques: Partial Integration and Substitution Rule

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

Properties of Integrals: Techniques and Applications

Explores properties of integrals and techniques for calculation.

Change of Variables: Examples

Explores examples of applying the change of variables formula to simplify integrals over different regions in the xy-plane.

Fundamental theorems of calculus and computing techniques

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

Avoiding Variable Capture

Explores variable capture in higher-order functions and the importance of variable renaming.

Evaluation and Operators

Explores class evaluation, extension methods, and operator implementation in Scala.