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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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