Chapter 7- The Integral: Introduction and Basic Methods

• Introduction to the Area Under Curves
• Area Approximation techniques: Riemann Sums
  • Left and Right Endpoint Rectangles
  • Center-Aligned Rectangles
  • The Trapezoid Rule
  • Simpson’s Rule
  • The Exact Area Using Riemann Sums
• The Antiderivative
• The Indefinite Integral
• The Integration Power Rule
• Properties of Integrals
• The Definite Integral
• The Fundamental Theorem of Calculus
• Integral Definition Summary (With Examples)