5.2 Understand the relation between integral and area when the function is not always positive (Example 2 -you do not need to know the summation formulas 5 and 6 on p.357 but you should know they exist; you should know formula 4!- and Example 4b, Exercises 1,4,21,23). Understand the Midpoint rule (Example 5, Exercises 3,5,11). Understand graphically the difference between a Riemann sum and the integral (Example 5, Exercises 1,2,3,4).
5.3 Understand how to use the Evaluation Theorem to calculate integrals using anti-derivatives (Examples 1 and 2, Exercises 1,5,6,8,18 -do as many as you can for practice). Know the indefinite integrals in Table 1 p.369, and know why we write "+ C". Be able to use this information to calculate indefinite integrals of sums and constant-multiples of these functions (Examples 3,4,5, Exercises 2-28). Understand the Net Change Theorem along with the examples following (on pp.371,372) and how to apply it (Examples 7 and 8, Exercises 47,48,49,50).
Use the Chapter Review for further reviewing.
February 21 2008