📊 Chapter 4: Integration
AP Exam Weight: 25-35% | Multiple Choice: 10-14 questions | Free Response: Major focus in several questions
📚 Table of Contents
- Antiderivatives
- Definite Integrals
- Integration Techniques
- Applications
- Fundamental Theorem
1. Antiderivatives ��
Understanding Antiderivatives
The reverse process of differentiation. Think of it as:
- Finding the original function from its derivative
- Recovering distance from velocity
- Working backwards through changes
- Finding a family of related functions
Basic Rules
Power Rule Integration
$\int x^n dx = \frac{x^{n+1}}{n+1} + C$ (n ≠-1)
Process
- Add 1 to exponent
- Divide by new exponent
- Add constant of integration
- Check by differentiating
Example Walkthrough