MTH 252 Integral Calculus - Winter 2023

Listed below are some of the materials I’ve developed for the MTH 252 course(s) I TA’ed for at Oregon State University.

Reference Sheets

1. On the Limit Definition of the Integral
2. On Partial Fraction Decomposition + Examples
3. On Trigonometric Substitution
4. On Calculating Volumes by Slicing + Washer Method
5. On the Washer Method + Cylindrical Shell Method, also board work
6. On Work Problems - Spring, Pumping, Hydrostatic Force and Pressure

Solutions to Selected Problems

1. Example - U-Sub and IBP
2. Example - PFD
3. Example - TrigSub
4. Example - Areas and Volumes 1
5. Example - Areas and Volumes 2
6. Example - Pumping, Conical Tank
7. Example - Pumping, Trapezoidal Tank