In this module you will learn how to estimate areas by filling a region with rectangles and adding their areas. Such sums are called Riemann sums and you will use them to estimate the area of a region. The investigation of Riemann sums will lead to the definite integral, a basic construct of calculus.

Lesson Index:

17.1 - Right-hand Riemann Sums

17.2 - Left-hand Riemann Sums and the AREA Program

17.3 - The Definite Integral

After completing this module, you should be able to do the following:

• Define right-hand and left-hand Riemann sums on the TI-83
• Use Riemann sums to approximate the area under a curve
• Visualize Riemann sums by using a program
• Evaluate definite integrals with the Integral feature on the TI-83
• Evaluate definite integrals with the feature found in the CALC menu of the Graph screen on the TI-83