Research Assignment: Riemann Sums and Area

Research Georg Riemann and write a one-page biography. Make sure that you include at least one fact from his personal life that is not related to mathematics and is not included in your textbook.
Explain the definition of a definite integral using Riemann sums. See the Riemann sum section in your textbook.
Illustrate the use of a Riemann sum to find a definite integral.
Identify each feature of the definition in your example.
Illustrate the definite integral with a graph that shows an example of a Riemann sum.