Section 8.7 Worksheet:

Assigned problems: Exercises pp. 554-557, #1, 2, 11, 30, 32, 33, 35 (due Monday, 9/15).

1. Why is approximate integration important?

2. Why is the midpoint rule called that? Why is the trapezoidal rule called that?

3. Which rule has the better (that is, smaller) error: midpoint or trapezoidal?

4. How does the error in Simpson's rule compare with the errors in the other two rules?

5. What curve is used in an important way in creating Simpson's rule?