Lectures related to Integration Techniques: Trigonometric and Hyperbolic Functions

Integral Techniques: Trigonometric/Hyperbolic Functions

Covers integration techniques using trigonometric and hyperbolic functions, with examples and variable changes.

Trigonometric Functions: Basics and Applications

Introduces the basics of trigonometric functions, their properties, and practical applications in geometry and physics.

Complex Hyperbolic and Trigonometric Functions

Explores complex hyperbolic and trigonometric functions, defining key properties and relationships with exponential functions.

Reciprocal Trigonometric Functions

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.

Integration Techniques: Part 2

Explores integration techniques, including indefinite integrals and variable changes, through trigonometric functions.

Solutions to QCM 1-3

Covers the solutions to multiple-choice questions 1 to 3.

Trigonometric Functions and Derivatives

Covers trigonometric functions, derivatives, and their applications in solving mathematical problems.

Improper integrals: Techniques and Examples

Covers examples of integration by substitution and rational functions.

Trigonometric Equations: Sinus and Cosinus

Covers the resolution of simple trigonometric equations involving sinus and cosinus functions.

Integration: Simple Elements

Covers the integration of simple elements using various techniques to solve integration problems.

Trigonometric Formulas: Addition Theorem

Explores trigonometric addition theorem, double angles, and tangent properties.

Integration Techniques: Fundamental Theorems and Methods

Discusses integration techniques, focusing on integration by parts and substitution methods, with practical examples and theoretical insights.

Cosine Theorem

Explores the cosine theorem in triangles, analyzing side and angle relationships.

Derivatives of Trigonometric Inverse Functions

Explores derivatives of trigonometric inverse functions and their properties, with examples and solutions included.

Triangle Resolution: Trigonometric Functions

Covers the resolution of triangles using trigonometric functions and the importance of cosine and sine theorems.

Trigonometric Functions: Sin and Cos

Covers the definition of sine and cosine functions, their graphs, and notable points.

Continuity of Trigonometric Functions

Explores the continuity of trigonometric functions and demonstrates specific limits and propositions related to them.

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.

Trigonometric Equations: Tangent and Cotangent

Explores solving trigonometric equations with tangent and cotangent functions, along with arctangent and arccotangent definitions.

Trigonometric Functions: Tangent and Cotangent

Explores the definition, properties, and geometric interpretations of tangent and cotangent functions in trigonometry.