# Math 122: Chapter 8 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. Integrate using a trigonometric substitution.
5. Integrate using partial fractions.
6. Integrate using partial fractions. You should be aware of how to handle improper fractions.
7. Evaluate the improper integral.
8. 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

 # Pts 1 2 3 4 5 6 7 8 Total 5 5 5 5 5 5 5 5 40