1. Integration Review Part I When you see the words… This is what you think of doing…  A Riemann Sum equivalent to the definite integral is… -- 1

2. Integration Review Part I When you see the words… This is what you think of doing…  If f is continuous and bounded on an interval containing x = a and  F’(x) = f(x) for all x in the interval 2

3. Integration Review Part I When you see the words… This is what you think of doing…  F (b) – F(a) where F’ = f 3

4. Integration Review Part I When you see the words… This is what you think of doing… -- 4

5. Integration Review Part I When you see the words… This is what you think of doing… -- 5

6. Integration Review Part I When you see the words… This is what you think of doing…  f(x) 6

7. Integration Review Part I When you see the words… This is what you think of doing…  f( g(x) ) * g’(x) 7

8. Integration Review Part I When you see the words… This is what you think of doing… 00 8

9. Integration Review Part I When you see the words… This is what you think of doing… Trapezoid Rule -- 9

10. Integration Review Part I When you see the words… This is what you think of doing… If f is increasing on the interval [a,b], then a Left Riemann Sum (overestimates, underestimates) the true value of  Underestimates 10

11. Integration Review Part I When you see the words… This is what you think of doing… If f is decreasing on the interval [a,b], then a Left Riemann Sum (overestimates, underestimates) the true value of  Overestimates 11

12. Integration Review Part I When you see the words… This is what you think of doing… If f is increasing on the interval [a,b], then a Right Riemann Sum (overestimates, underestimates) the true value of  Overestimates 12

13. Integration Review Part I When you see the words… This is what you think of doing… If f is decreasing on the interval [a,b], then a Right Riemann Sum (overestimates, underestimates) the true value of  Underestimates 13

14. Integration Review Part I When you see the words… This is what you think of doing… If f is concave upward on the interval [a,b], then the Midpoint Riemann Sum (overestimates, underestimates) the true value of  Underestimates 14

15. Integration Review Part I When you see the words… This is what you think of doing… If f is concave downward on the interval [a,b], then the Midpoint Riemann Sum (overestimates, underestimates) the true value of  Overestimates 15

16. Integration Review Part I When you see the words… This is what you think of doing… If f is concave downward on the interval [a,b], then the Trapezoid Rule Sum (overestimates, underestimates) the true value of  Underestimates 16

17. Integration Review Part I When you see the words… This is what you think of doing… If f is concave upward on the interval [a,b], then the Trapezoid Rule Sum (overestimates, underestimates) the true value of  Overestimates 17

18. Integration Review Part I When you see the words… This is what you think of doing… Displacement (Integral) .. 18

19. Integration Review Part I When you see the words… This is what you think of doing… .. 19

20. Integration Review Part I When you see the words… This is what you think of doing… .. 20

21. Integration Review Part I When you see the words… This is what you think of doing… .. 21

22. Integration Review Part I When you see the words… This is what you think of doing… .. 22