This is a tutorial in techniques of integration and is not intended for use as a textbook that teaches all there is to know about integral calculus. I will assume that you, the reader of this tutorial, will already have some basic knowledge of calculus whether you are currently in secondary education, tertiary education or a teacher. This tutorial is intended only to be supplementary material to your current studies of integral calculus and thus will not contain many proofs of theorems. In order to use this tutorial I also assume you will have adequate knowledge in differential calculus, functions, trigonometry, inverse trigonometry and will understand notation such as: f(x), the derivative of a function f(x).
The 10 sections included have worked through examples and also many exercises for you to try
The techniques discussed in this tutorial are:
1. Basic Technique of Integration
2. Partial Fractions
3. Trigonometric Identities
4. Algebraic Substitution
5. Trigonometric Substitution
6. Trig Substitution: t-results
7. Integration by Parts
8. Reduction Method
9. Special Method
10. Miscellaneous techniques