1. Homework Homework Assignment #6 Review Section 5.6 Page 349, Exercises: 1 – 57(EOO) Quiz next time Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

2. Homework, Page 349 Calculate du for the given function. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

3. Homework, Page 349 Calculate du for the given function. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

4. Homework, Page 349 Write the integral in terms of u and du. Then evaluate. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

5. Homework, Page 349 Write the integral in terms of u and du. Then evaluate. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

6. Homework, Page 349 Write the integral in terms of u and du. Then evaluate.

7. Homework, Page 349 Write the integral in terms of u and du. Then evaluate. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

8. Homework, Page 349 Write the integral in terms of u and du. Then evaluate. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

9. Homework, Page 349 Show that the integral is equal to a multiple of sin(u(x)) + C for an appropriate choice of u(x). Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

10. Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

11. Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

12. Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

13. Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

14. Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

15. Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

16. Homework, Page 349 Evaluate the indefinite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

17. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company When using the Substitution Method, we may evaluate the original limits in terms of u and find new limits, or we may convert F(u) to F(x) and use the original limits.

18. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company Calculate the shaded area in Figure 1.

19. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company Calculate the shaded area in Figure 2.

20. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company Calculate the shaded area in Figure 3.

21. Example, Page 349 Use the Change of Variables Formula to evaluate the definite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

22. Example, Page 349 Use the Change of Variables Formula to evaluate the definite integral. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company

23. Homework Homework Assignment #7 Read Section 5.7 Page 349, Exercises: 61 – 89(EOO) Rogawski Calculus Copyright © 2008 W. H. Freeman and Company