Integral Formula Table For Math Contests

For this post I made a table of formulas for you to solve integrals, especially if you are going to compete or train for a math contest, like the so called "Integration Bee" contests or "Integration Marathons." I competed in some of them at my home college, and based on my experience and the studying I did during those times I made this table of formulas. 

The table contains the basic integration rules, but I compiled this list for the ones that have already studied or seen at least once the basic methods of integration. Thus, this table of integrals has the purpose to improve your speed at solving some integrals by recommending some tricks or methods. I also suggest to memorize some formulas, they are the ones I consider more useful due to their frequent repetition in the integrals I have solved during the contests and training. Also, the ratio of time and paper-work to memorization make them advantageous to learn. 

So, the first document is just a list of the integration formulas, tricks and methods divided into groups according to the type of functions we are dealing with. The second document contains the same formulas but they are explained in more detail and have some few examples.

Of course you can derive more general formulas for some type of integrals, but you have to choose how many to memorize and which ones you can derive in the exam quickly.

If you discover/know some cool integration tricks I invite you to share them in this post. Inquiries and corrections are also welcome. Likewise, I promise some other integration suggestions for definite and improper integrals in the next couple of weeks. 

* Integral-Table , Integral-Formulas explained and with examples