Section 5.2 Worksheet:

Assigned problems: Exercises pp. 334-336, #1-3, 6, 30, 31, 40, 46, 49, 64 (due Thursday, 3/27).

1. How is a definite integral related to area?

2. What is a Riemann sum?

3. What happens to the value of the integral when you change the order of the limits of integration? Why does this make sense?

4. How are the sample points determined for the three major rules (midpoint, left endpoint, right endpoint)?

5. Do the sample points have to be equally spaced?

Notes:

There's a lot going on in this section. Pay special attention to all those properties of integrals: which ones are natural, and role off your tongue? Which ones seem strange?