Section 8.7 Worksheet:

Assigned problems: Exercises pp. 554-557, #1, 2, 11, 31, 32, 33a, 35 (due Tuesday, 1/27).

1. Why is approximate integration important?

2. Why are the midpoint and trapezoidal rules so named?

3. How is the trapezoidal rule related to the left and right rectangle methods?

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

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

6. What curve is featured in an important way in creating Simpson's rule?