Concept

Nonelementary integral

Related lectures (32)

Integration Techniques: Part 2

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

Integral Calculus: Fundamentals and Applications

Explores integral calculus fundamentals, including antiderivatives, Riemann sums, and integrability criteria.

Integral Calculus: Definite and Indefinite Concepts

Covers basic tools for definite integrals, antiderivatives, and integral calculus applications.

Riemann Sums and Definite Integrals

Covers Riemann sums, definite integrals, Taylor series, and exponential of complex numbers.

Differential Calculation: Hyperbolic Functions

Explores differential calculation with hyperbolic functions and Taylor series, emphasizing the importance of signed areas in integrals.

Complex Analysis: Cauchy Theorem

Explores the Cauchy Theorem and its applications in complex analysis.

Integration of Rational Functions

Covers the integration of rational functions and partial fraction decomposition, explaining how to handle complex roots.

Improper integrals: Techniques and Examples

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

Integrals: Indefinite and Definite

Discusses indefinite and definite integrals, their connection, and integration methods.

Conceptual Quiz and Discussion

Covers the difference between definite and indefinite integrals and includes conceptual questions on kinetic energy, gravity, and motion.

The Mean Value Theorem

Covers the Mean Value Theorem for integrals and its applications.

Fundamental Theory of Integral Calculus

Covers the fundamental theory of integral calculus, integration methods, and the importance of finding primitive functions for integration.

Part-based Integration Examples

Showcases step-by-step examples of part-based integration for functions like e^x and ln(x).

Integration Basics

Covers the fundamentals of integration and various methods for solving integration problems.

Immediate Integration

Covers immediate integration methods for solving integrals directly without complex calculations.

Fundamental Theorem of Calculus

Explores the fundamental theorem of calculus, properties of integrals, and primitives.

Integral: Primitive Notion

Covers primitive functions, infinite primitives, the theorem on primitives, and examples of indefinite integrals.

Definition of Indefinite Integral

Explains the definition and properties of indefinite integrals, highlighting the relationship between primitives and the set of all primitives of a function.

Fundamental Theorem of Calculus: Integrals and Primitives

Explains the Fundamental Theorem of Calculus, focusing on integrals and their relationship with primitives.

Properties of Definite Integrals

Covers the properties of definite integrals and their implications through examples.