## Study Guide - Final Part 1

1. Find the area between two curves.
2. Find the volume of rotation using disks or washers.
3. Find the volume of rotation using cylindrical shells.
4. Find the arclength of a curve.
5. Find the area of the surface of revolution.
6. Apply Hooke's Law to find the variable force.
7. Find the volume of rotation using the First Theorem of Pappus.
8. Find an antiderivative.
9. Integrate using integration by parts.
10. Evaluate an integral involving trigonometric functions.
11. Perform trigonometric substitution
12. Write the form of a partial fraction decomposition
13. Evaluate a limit - concentrate on indeterminant forms and L'Hopital's Rule
14. Evaluate an improper integral
15. Simplify the ratio of two factorials
16. Find the sum of an infinite geometric series
17. Apply the Direct Comparison Test
18. Find a Maclaurin polynomial
19. Find the interval of convergence
20. Find the derivative of a power series
21. Find the equation of a conic section
22. Describe a conic section using the discriminant
23. Eliminate a parameter
24. Find the derivative of a parametric curve
25. Find the area bounded by a polar curve
26. Find the polar equation of a conic section
All problems are directly from the book. There are a few cases where I have taken the problem in the book and simplified it. There are 26 problems worth 4 points each. This means that there is 104 possible points on the exam (4 bonus points).

Questions are multiple choice with four parts. Only one part is correct per question, and there are no "None of the Above" questions. Problems are either correct or incorrect. There is no partial credit.