# Math 122: Chapter 8 Exam Study Guide

1. Evaluate the integral using integration by parts.
2. Evaluate the integral using the tabular method of integration by parts.
3. Evaluate the trigonometric integral.
4. Evaluate the trigonometric integral.
5. Integrate using a trigonometric substitution.
6. Integrate using a trigonometric substitution.
7. Integrate using partial fractions. The cover-up method of partial fractions will really save some time here.
8. Integrate using partial fractions. You should be aware of how to handle improper fractions.
9. Evaluate the improper integral.
10. Evaluate the improper integral.
11. For each limit, describe the form that is obtained by direct substitution. Then evaluate the limit, using L'Hôpitals' Rule if necessary. (7 parts)

## Notes

• There is a take home portion of the exam worth 50 points that is due at the beginning of class they day of the exam.
• The in-class portion of the test must be worked without a computer.
• The in-class portion of the exam is worth 50 points, although there is a possibility of scoring 54 points on it.

## Points per problem

 # Pts 1 2 3 4 5 6 7 8 9 10 11 take home Total 4 4 4 4 4 4 4 4 4 4 14 50 104