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The Second Fundamental Theorem of Calculus

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This video introduces and provides some examples of how to apply the Second Fundamental Theorem of Calculus.
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The Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus

Ex: Evaluate a Definite Integral and the Derivative of an Integral Using a Graph

Ex: Evaluate a Definite Integral and the Derivative of an Integral Using a Graph

The Second Fundamental Theorem of Calculus

The Second Fundamental Theorem of Calculus

Ex 1: The Second Fundamental Theorem of Calculus

Ex 1: The Second Fundamental Theorem of Calculus

Proof of the Fundamental Theorem of Calculus (Part 1)

Proof of the Fundamental Theorem of Calculus (Part 1)

Ex 3: The Second Fundamental Theorem of Calculus

Ex 3: The Second Fundamental Theorem of Calculus

Ex 5: The Second Fundamental Theorem of Calculus with Chain Rule

Ex 5: The Second Fundamental Theorem of Calculus with Chain Rule

Antiderivatives: Find a Function Given the Second Derivative (Linear)

Antiderivatives: Find a Function Given the Second Derivative (Linear)

Ex 2: The Second Fundamental Theorem of Calculus (Reverse Order)

Ex 2: The Second Fundamental Theorem of Calculus (Reverse Order)

Local Maximum and Local Minimum of a Definite Integral Function (Accumulation Function)

Local Maximum and Local Minimum of a Definite Integral Function (Accumulation Function)

Determine an Antiderivative with Initial Condition (a^x+x)

Determine an Antiderivative with Initial Condition (a^x+x)

The General Antiderivative of a Polynomial Function (Radicals)

The General Antiderivative of a Polynomial Function (Radicals)

Ex 4: The Second Fundamental Theorem of Calculus with Chain Rule

Ex 4: The Second Fundamental Theorem of Calculus with Chain Rule

Ex: Indefinite Integral Using Substitution Involving a Square Root

Ex: Indefinite Integral Using Substitution Involving a Square Root

Ex: Evaluate a Basic Definite Integral of a Basic Quadratic Function Using the FTC

Ex: Evaluate a Basic Definite Integral of a Basic Quadratic Function Using the FTC

Proof of the Fundamental Theorem of Calculus (Part 2)

Proof of the Fundamental Theorem of Calculus (Part 2)

Ex: Indefinite Integral Using Substitution Involving a Rational Function I

Ex: Indefinite Integral Using Substitution Involving a Rational Function I

Ex: Definite Integration Involving a Basic Trig Function (above and below x-axis)

Ex: Definite Integration Involving a Basic Trig Function (above and below x-axis)

Indefinite Integration Using Substitution

Indefinite Integration Using Substitution

Given a Derivative Function, Integrate to Find the Original Function

Given a Derivative Function, Integrate to Find the Original Function

Ex 1: Determine Antiderivatives

Ex 1: Determine Antiderivatives

Integration by Substitution

Integration by Substitution

Antiderivatives: Find a Function Given the Second Derivative (Sine)

Antiderivatives: Find a Function Given the Second Derivative (Sine)

Determine Indefinite Integrals Using U-substitution: Rational with Denominators Raised to Powers

Determine Indefinite Integrals Using U-substitution: Rational with Denominators Raised to Powers

The Antiderivative of an Exponential Function and an Exponent of -1.

The Antiderivative of an Exponential Function and an Exponent of -1.

Definite Integration Using Substitution (No Trig)

Definite Integration Using Substitution (No Trig)

(1.1) Solutions to Differential Equations as Integrals: Form y'(x)=f(x)

(1.1) Solutions to Differential Equations as Integrals: Form y'(x)=f(x)

Basic Antiderivatives of Trigonometric Functions

Basic Antiderivatives of Trigonometric Functions

Evaluate a Definite Integral: Product of Two Binomials

Evaluate a Definite Integral: Product of Two Binomials

Ex 1: Integration Using Substitution

Ex 1: Integration Using Substitution

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