# Unit 4 ## Intro

• Integration is an important process of calculus that is closely related to differentiation.

• There are methods and rules for solving definite and indefinite integrals, including the Fundamental Theorem of Calculus.

## 4.1 Indefinite Integrals

### 4.1.1 Antiderivatives of Algebraic Functions

• Notation

• Basic Rules

• Long Division

• Completing the Square

## 4.2 Differential Equations

### 4.2.1 Separable Differential Equations

• Verifying Solutions

• Finding General Solutions Using Separation of Variables

• Particular Solutions using Initial Conditions

### 4.2.2 Slope Fields*

• Sketching Slope Fields

• Reasoning with Slope Fields

### 4.2.3 Euler's Method**

• Approximating Solutions

## 4.3 Definite Integrals and Accumulation of Change

### 4.3.1 Riemann Sums*

• Summation Notation

### 4.3.2 Fundamental Theorem of Calculus

• Accumulation Functions

• Connecting Area to Accumulation Functions

• Properties

## Videos

### 4.1.2 Antiderivatives of Transcendental Functions

• coming soon...