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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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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 Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus

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

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

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

Proof of the Fundamental Theorem of Calculus (Part 1)

Proof of the Fundamental Theorem of Calculus (Part 1)

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

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

Ex 3: The Second Fundamental Theorem of Calculus

Ex 3: The Second Fundamental Theorem of Calculus

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

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

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

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

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

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

Find an Antiderivative with an Initial Condition

Find an Antiderivative with an Initial Condition

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 Square Root

Ex: Indefinite Integral Using Substitution Involving a Square Root

Ex 2: Determine Antiderivatives

Ex 2: Determine Antiderivatives

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

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

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

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

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

The General Antiderivative of a Polynomial Function (Radicals)

The General Antiderivative of a Polynomial Function (Radicals)

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)

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

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

Basic Antiderivatives of Trigonometric Functions

Basic Antiderivatives of Trigonometric Functions

Indefinite Integration Using Substitution

Indefinite Integration Using Substitution

Integration by Substitution

Integration by Substitution

Definite Integration Using Substitution (No Trig)

Definite Integration Using Substitution (No Trig)

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

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

Evaluate a Definite Integral Using U-Substitution: xe^(ax^2)

Evaluate a Definite Integral Using U-Substitution: xe^(ax^2)

Evaluate a Definite Integral: Product of Two Binomials

Evaluate a Definite Integral: Product of Two Binomials

(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)

Ex: Integration Tables - Integration Involving Requiring U-substitution Involving (tan(u))^n

Ex: Integration Tables - Integration Involving Requiring U-substitution Involving (tan(u))^n

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