# Math 122: Chapter 8 Exam Study Guide

- Evaluate the integral using integration by parts.
- Evaluate the integral using the tabular method of integration by parts.
- Evaluate the trigonometric integral.
- Evaluate the trigonometric integral.
- Integrate using a trigonometric substitution.
- Integrate using partial fractions. The cover-up method of partial fractions will really save some time here.
- Integrate using partial fractions. You should be aware of how to handle improper fractions.
- Evaluate the improper integral.
- Evaluate the improper integral.
- 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.

## Points per problem

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
take home |
Total |

Pts |
4 |
4 |
4 |
4 |
4 |
4 |
4 |
4 |
4 |
14 |
50 |
100 |