From this page you can access a collection of videos and notes dealing with important areas of introductory Integral Calculus. They are organised into sections where possible. For Maynooth University students, this material is typically covered in parts of Integral Calculus (MT102SC) and Calculus 2 (MT106A). These resources are not a replacement for the material covered in your lectures and assignments, rather you should use them as extra support to aid your understanding of any material you may have difficulties with.
- Definite & Indefinite Integrals
- Area Under\Between Curves
- U-Substitution
- Trigonometric Substitutions
- Integration by Parts
- Reduction Formula
- Integration by Partial Fractions
- Volumes of Revolution
- The Fundamental Theorem of Calculus
- Simpson's Rule & the Trapezoid Rule
- Improper Integrals
- Sequences
- Series
Miscellaneous
- A selection of Mathscasts on Integration (University of Limerick)
- Completing the Square (Khan Academy)
- Notes & Videos on Completing The Square (MIT)
- Selection of Videos on Integration (Mathtv.com)
- A series of videos on functions
- A series of videos on vectors and calculus
- Notes on Integration Strategy (Paul's Online Notes)
- Selection of Problems (with Answers) on Various Calculus Topics - Limits, U-Substitution, Exponential & Trig Functions, By Parts, Log & Inverse Tan, Partial Fractions UC Davis Mathematics