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The Fundamental Theorem of Calculus
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This video explains the Fundamental Theorem of Calculus and provides examples of how to apply the FTC.
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The Definite Integral
The Definition of The Definite Integral
The Fundamental Theorem of Calculus
Ex: Evaluate a Basic Definite Integral of Cosine Using the Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus
Local Maximum and Local Minimum of a Definite Integral Function (Accumulation Function)
Ex: Fundamental Theorem of Calculus Concept Check
Ex: Evaluate a Definite Integral of a Polynomial
The Second Fundamental Theorem of Calculus
Ex 1: The Second Fundamental Theorem of Calculus
Ex: Evaluate a Basic Definite Integral of a Basic Quadratic Function Using the FTC
Ex: Properties of Definite Integrals - Difference and Sum of Definite Integrals
Properties of The Definite Integral
Ex: Evaluate a Basic Definite Integral of a Constant Function Using the FTC
The Fundamental Theorem of Line Integrals - Part 1
Ex: Properties of Definite Integrals - Order of Integration
Evaluate a Definite Integral Using U-Substitution: Square Root
Ex: Definite Integral Involving a Basic Linear Function
Ex: Evaluate a Definite Integral of a Basic Quotient - Area Under a Curve
Proof of the Fundamental Theorem of Calculus (Part 1)
Ex: Definite Integration Using Geometric Formula (Line Above and Below X-Axis)
Ex: Evaluate a Basic Definite Integral of a Basic Linear Function Using the FTC
Ex: Definite Integration of an Absolute Value Function Using Geometric Formula
Ex: Definite Integration Involving a Basic Trig Function (nonnegative)
Ex: Evaluate a Definite Integral and the Derivative of an Integral Using a Graph
Ex: Definite Integration Application - Velocity and Distance
Ex: Properties of Definite Integrals - Determine limits of Integration
Ex: Evaluate a Definite Integral Using a Geometric Formula (Semicircle)
Ex: Properties of Definite Integrals - The Difference of Two Definite Integrals
Ex: Evaluate Definite Integral Using Area Above and Below the x-axis
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