7.7: Approximate Integration

Objectives:

• Use Riemann and Trapezoidal sums to approximate definite integrals of functions represented algebraically, geometrically and by tables of values.

Read:
pgs. 495 - 500 (stop at Simpson's Rule)

Definitions:

• Error

Formulas:

• The Trapezoidal Rule

• Error Bounds (of both Trapezoidal and Midpoint Rules)

Flashcards:

• The Trapezoidal Rule

Examples:
Explanation of Trapezoidal approximation


Ex1. The Midpoint Rule (refer to 5.2a ex4)

Ex2. The Trapezoidal Rule

Student Example


Ex3. Error Bounds

Student Example


Practice Set:
7.7 #1, 8a/b,13a/b, 20

Reminder:
Quiz 5.1, 5.2, 7.7 Monday