# 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.
9. Find the derivative. Three parts. From chapter 7.
10. Find the limit. Three parts. From chapter 7.
11. Find the integral. Two parts. From chapter 7.
12. 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

 # Pts 1 2 3 4 5 6 7 8 9 10 11 12 take home Total 5 5 5 5 5 5 5 5 6 9 6 4 60 125