The first fundamental theorem of calculus states that, if is continuous on the closed interval and is the indefinite integral

of 'f' on  on,then

Once upon a time there were two knowledgeable men known as Isaac Newton and Gottfried Leibniz. They were known for many things, however what we care about right now is how these men contributed to the birth of our beloved Calculus. 

Newton focused on variables changing time, while Leibniz focused on variables x and y as ranging over sequences of infinitely close values. Mr. Leibniz gave us the dy/dx while Mr. Newton used x’ and y', finite velocity to calculate the tangent. These men may have taken up different route in calculus but still had one thing in common, they never thought in terms of function but instead in graphs. ( at least that’s what History tells us). Mr.Leibniz was a very generous,kind, smart man he maintained great purpose in his notation by making sure his notations made sense, while selfish Mr.Newton just wrote down notations he thought of on that day. Thats why most of the notations used by us today in calculus is thanks to Mr. Leibniz. As the story goes on Blah!Blah!Blah, these men idea broke calculus into branches and the world lived a happily ever after.

          Love, Calculus

The End

Differential Calculus

Encompasses rates of change, and slopes of curves

Integral Calculus

Encompasses accumulation of quantities, and the areas under curves

· Definition of calculus in English: (calculus: definition of calculus in Oxford dictionary (American 

English) (US)) 23 Feb. 2015 

<http://www.oxforddictionaries.com/us/definition/american_english/calculus>

· Calculus (Wikipedia) 23 Feb. 2015 <http://en.wikipedia.org/wiki/Calculus>

· Calculus (American English definitions and thesaurus) 23 Feb. 2015

<http://www.macmillandictionary.com/us/dictionary/american/calculus>

· The History of Calculus (The History of Calculus) 23 Feb. 2015 

<http://www.uiowa.edu/~c22m025c/history.html>

· White pebbles HD wallpaper 23 Feb. 2015 

<http://www.desktopwallpapers4.me/photography/white-pebbles-7369/>

• The language of origin for the word “Calculus” is Latin. It means pebble, or small stone. 

• Calculus was named after this Latin word because small stones were then used for counting. 

A type of mathematics used for calculating such things as the slopes of curves.

The branch of mathematics that deals with the finding and properties of derivatives and integrals of functions, by methods originally based on the summation of infinitesimal differences

How the "Fundamental Theorem of Calculus" 

came to be.