# Math 122: Chapter 8 Study Guide

- Evaluate the integral using integration by parts.
- Evaluate the integral using the tabular method of integration by parts.
- Evaluate the trigonometric integral.
- Integrate using a trigonometric substitution.
- Integrate using partial fractions.
- Integrate using partial fractions. You should be aware of how to handle improper fractions.
- Evaluate the improper integral.
- Approximate the area under the curve using the Trapezoid Rule and Simpson's
Rule.

## Notes

- The test must be worked without a calculator or computer. The values in
the numerical integration problem are simple enough that they can be done
without a calculator.
- The in-class portion of the exam is worth 40% of the test grade.
- There is a take home portion of the exam worth 60% of the test grade.
- You will need data from the USGS
Water Data site to answer
question 1 on the take home.
- The take home exam is due the day of the in-class exam.

## Points per problem

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
Total |

Pts |
5 |
5 |
5 |
5 |
5 |
5 |
5 |
5 |
40 |