integration

 An easy to follow tutorial on definite integrals on the TI calculator.

Integral is finding the value which gets its derivative.

i.e. the opposite of multiplying is division, the opposite of differentiating is integrating.

Integration is used to calculate the area, as we see here in these photos:

http://www.wiziq.com/tutorial/45998-Definite-integral-Basic

A summarization is here:

www.sosmath.com/calculus/integration/byparts/byparts.html

Learning integration concepts from Wikipedia:
http://en.wikipedia.org/wiki/Integral

"MathTutor" including video tutorials about integration:
http://www.mathtutor.ac.uk/integration/Main.html

Integration through using graphs (using rectangles in graphs to determine the area beneath):
http://www.sosmath.com/calculus/integ/integ01/integ01.html
 

Geffen's notes on integration:

-Integration is the opposite of deriving; you are literally going backwards to start off with. What you are looking for is what value would give you the given derivative.

eg: 2x = x^2

Where x^2 is what you are looking for and 2x is given.

- Then, once you have the orgional value for the derivative you have to substitue the given values for the range of the function for x.

eg: (3)^2 -(0)^2

Where 3 and 0 are your given range - symbolising b (3) and a (0) - and the solving always happens as b-a.  Your answer after substitution is the answer to the question.

Useful sites:

For finding the approximate area under a graph curve:

http://archives.math.utk.edu/visual.calculus/4/areas.4/index.html

For properties of definite integrals:

http://archives.math.utk.edu/visual.calculus/4/definite.1/index.html

*This site has visual learning so you can see the solving or method happening step by step.

On how to solve a definite integral:

http://www.cliffsnotes.com/WileyCDA/CliffsReviewTopic/Definite-Integrals...

-Scroll down to number 11, but the page has good explanation in general

Video tutorials:

http://www.youtube.com/watch?v=UhX-2jDu8C8

-very long, but persistent

http://www.youtube.com/watch?v=ObwLPmEjqHY&feature=related

-very simple but gives a straightforward definition/ easy to understand