1. Integration Review Problems

2. Review Problems
Evaluate 6

3. Review Problems
Evaluate -2 1

4. Review Problems
Find the average value of f(x) = 3x2 - 2 on the interval [0, 2]. 2

5. Review Problems
Find the average value of y = x3 over the interval [0, 2]. 2

6. Review Problems
Find the area of the region bounded by y = (x - 1)2 + 1, the x-axis,
x = -1, and x = 2. 6

7. Review Problems
Find the value of c guaranteed by the Mean Value Theorem for Integrals for on the interval [1, 4]. 2

8. Review Problems
Consider
Find and

9. Review Problems
Evaluate

10. Review Problems
Evaluate
+ C

11. Review Problems
Evaluate
+ C

12. Review Problems
Evaluate
tan x2 + C

13. Review Problems
Evaluate
+ C

14. Review Problems
Evaluate
+ C

15. Review Problems
Evaluate
sin 3x + C

16. Review Problems
Evaluate

17. Review Problems
Evaluate
+ C

18. Review Problems
Find an expression in a and b for the value of the definite integral

19. Review Problems Consider the integral,
Determine new upper and lower limits of integration using the substitution u = 4x2 - 3.
Upper, 97; lower, 5

20. Review Problems
Use the Trapezoidal Rule, with n = 4, to approximate
-53.59

21. Review Problems
Use the Trapezoidal Rule, with n = 4, to approximate the area of the region bounded by the graphs of y = sin x and y = 0 on the interval [0, π].

22. Review Problems 31 A function f is given by the following table:
Approximate the area between the x-axis and y = f(x) from x = 0 to x = 4 using Simpson’s Rule. 31