Calculus Portal

Objective 1c: Horizontal Representative Rectangle

You will be able to use find the area between two curves

A Function of y

When your curves are defined by functions of y rather than functions of x, it is more convenient to use a horizontal representative rectangle. In such a case, we will be integrating with respect to y instead of x. Duration: 17:03

Independent Practice

Sketching the graph of a function y can be challenging. Remember that you can switch the x and the y variables, then graph the inverse of the result. Give that a try on Example 8, then find the indicated area.

Example 8 Solution

If your graph in any way resembles the thumbnail below, you're on the right track. Now you just have to complete the problem with a generous application of algebra, arithmetic, and you know, calculus. Duration: 10:10