Writing Assignment #1 On clean paper, legibly print or write, in clear and concise English, a description of the development of...

On clean paper, legibly print or write, in clear and concise English, a description of the development of the definite integral over a segment [a, b].  You may use a specific function or a general function, f.  Your description should be logically organized, didactic, and sufficient that any individual with pre-calculus training could follow it (you do not have to explain what a derivative is).  It should also include the following:

• a basic statement of the problem (curve defined by y = f(x) on an interval [a, b];
• a list of conditions necessary for the Riemann integral to exist;
• an explanation of the role that partitions, minimums or maximums and limits play in the integral;
• the role that the fundamental theorem of calculus plays in evaluating definite integrals.

*** Note that you can write on the Riemann integral or the Darboux integral (whichever one you are more familiar with).