1. Homework Homework Assignment #6 Review Section 5.6
Page 349, Exercises: 1 – 57(EOO)
Quiz next time
Rogawski Calculus
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2. Homework, Page 349 Calculate du for the given function.
Rogawski Calculus
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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
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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. 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.
Rogawski Calculus
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18. Calculate the shaded area in Figure 1.
Rogawski Calculus
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19. Calculate the shaded area in Figure 2.
Rogawski Calculus
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20. Calculate the shaded area in Figure 3.
Rogawski Calculus
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21. Example, Page 349
Use the Change of Variables Formula to evaluate the definite integral.
Rogawski Calculus
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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