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Chapter 7: Integral Search for Primitive
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Integral: Primitive Notion
Covers primitive functions, infinite primitives, the theorem on primitives, and examples of indefinite integrals.
Riemann Integral: Techniques and Fundamentals
Explores Riemann integrability, the fundamental theorem of integral calculus, and various integration techniques.
Fundamental Theorem of Calculus: Integrals and Primitives
Explains the Fundamental Theorem of Calculus, focusing on integrals and their relationship with primitives.
Fundamental Theory of Integral Calculus
Covers the fundamental theory of integral calculus, integration methods, and the importance of finding primitive functions for integration.
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.
Differential Calculation: Hyperbolic Functions
Explores differential calculation with hyperbolic functions and Taylor series, emphasizing the importance of signed areas in integrals.
Fundamental Theorem of Integral Calculus
Explores the fundamental theorem of integral calculus, area calculation, derivatives, and proof techniques.
Definite Integrals: Properties and Interpretation
Covers the calculation of minimum points and the concept of definite integrals.
Derivative of Integral with Parameter Dependency
Explores the derivative of an integral with parameter dependency and its continuity.