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Fundamental theorem of calculus
Formal sciences
Mathematics
Analysis
Calculus
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Related lectures (32)
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Integration by Substitution
Explores integration by substitution with proofs and examples on anti-derivatives and function equivalence.
Advanced Analysis II: Generalisations and Gradients
Explores generalisations of functions and the concept of gradients in advanced analysis.
Fundamental Theorem of Calculus Example
Demonstrates the practical importance of the fundamental theorem of calculus through a detailed example.
Variations: Jensen-Type Inequality
Covers the Jensen-Type inequality for young meanres and the connection between young and quasi convexity.
Fundamental Theorem of Calculus: Integrability, Anti-derivatives, Integration by Parts
Covers integrability, anti-derivatives, and integration by parts in calculus.
Fields from Potential: Derivation and Curvilinear Integral
Explores deriving fields from a potential, curvilinear integrals, and necessary conditions for domains.
Derivative of an Integral
Covers the derivative of an integral dependent on a parameter and its fundamental properties.
Integration Techniques: Part 2
Explores integration techniques, including indefinite integrals and variable changes, through trigonometric functions.
Fundamental Theorem of Calculus: Integrals and Primitives
Explains the Fundamental Theorem of Calculus, focusing on integrals and their relationship with primitives.
Fundamental Theorem of Calculus
Explores the fundamental theorem of calculus, properties of integrals, and primitives.