# 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.
- Find the derivative. Three parts. From chapter 7.
- Find the limit. Three parts. From chapter 7.
- Find the integral. Two parts. From chapter 7.
- Find the equation of a line tangent to a curve at a point. From chapter 7.

## Notes

- The test must be worked without a computer.
- The in-class portion of the exam is worth 65 points.
- There is a take home portion of the exam worth 60 points.
- 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.
- From chapter 7, you should know the derivatives of the inverse trigonometric functions, the integrals resulting in inverse trigonometric forms, and the derivatives of the hyperbolic trigonometric functions.

## Points per problem

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
take home |
Total |

Pts |
5 |
5 |
5 |
5 |
5 |
5 |
5 |
5 |
6 |
9 |
6 |
4 |
60 |
125 |