Given the function

approximate the area bounded by the graph of **f**, the **x**-axis
and the line **x = 1**.

First, we discuss how to approximate an area using inscribed and circumescribed rectangles.

- Approximating the area with inscribed rectangles.

[Using Flash] [Using Java] - Approximating the area with circumscribed rectangles.

[Using Flash] [Using Java]

How can we get a better approximation for the area? Let's first look at the following examples:

In both of these examples, we see that by increasing the value of