# Subject: Additional Examples for Integrating.

Date : 5 March, 2016
Version: 0.2
By: Albert van der Sel
Doc. Number: Note 8.1
For who: for beginners.

### This note is especially for beginners. Maybe you need to pick up "some" basic "mathematics" rather quickly. So really..., my emphasis is on "rather quickly". So, I am really not sure of it, but I hope that this note can be of use. Ofcourse, I hope you like my "style" and try the note anyway.

Preceding notes:

Note 1: Basic Arithmetic.
Note 2: Linear Equations.
Note 3: Quadratic Equations and polynomials.
Note 4: The sine/cosine functions.
Note 5: How to differentiate and obtain the derivative function .
Note 6: Analyzing functions.
Note 7: The ex and ln(x) functions.
Note 8: Integrals (anti-derivative) Part I.

This note: Note 8.1: Additional examples to find the Integral (anti-derivative).

Here are additional examples to find the integral (anti-derivative), using various methods.
While note 8 forms the basis, this note (8.1) will try to provide you with a roadmap to find
the primitive function. This text is only for y=f(x) R -> R functions (XY plane).
So, the text will be a simple roadmap for finding primitive functions.

So, the prerequisite for this note, is the basic text of note 8. You must first read that one,

So, I assume that you know a bit about "substitution", and "integration by parts".
If not, please see note 8.

Also, the "domains" for which functions are valid, are not explicitly mentioned.
For example:

 f(x) = 1 ------ (2x-4)

will obviously display asymptotic behaviour, when x->2, but is further "well-behaved"
for all other x values (except x=2).