Part-based Integration Examples

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Related lectures (32)

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Fundamental Theorem of Calculus: Integrals and Primitives

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

Integral Calculus: Definite and Indefinite Integrals

Covers the concepts of definite and indefinite integrals and demonstrates the linearity of the integration operator.

Conceptual Quiz and Discussion

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

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

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

Properties of Definite Integrals

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

Integration Techniques: Change of Variable

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

The Mean Value Theorem

Covers the Mean Value Theorem for integrals and its applications.

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.

Integral Calculus: Review and Examples

Covers a review of integral calculus concepts and provides examples of solving integrals.

Integral Applications: Plan Region Areas

Covers the calculation of areas of regions in the plane using integrals and explores convex functions.