MATH 151: Calculus II

Test #1 Review topics

February 16, 2019

1. Fundamental Theorem of Calculus (parts 1 and 2)

2. Integration by substitution

3. Integration by parts

4. Trigonometric integrals

5. Trigonometric substitutions

6. Integration with the use of partial fractions

7. Improper integrals of type 1

8. Improper integrals of type 2

9. Comparison test for improper integrals

10. Integrals as areas between curves

11. Computing volumes of revolution by disk (slice) and washer methods

Optional review problems:

Chapter 5 Review: 7, 15, 22, 23, 26, 27, 28, 29, 33, 39, 41, 55, 57, 59, 60, 61, 69, 71.

Chapter 6 Review: 1, 3, 9, 11, 12