We can find the area under a curve (using the Fundamental Theorem of Calculus), and we can extend this skill to find the area of nearly any shape. Suppose you wanted (or needed) to know the area of the shaded region in this graph (click here). How could we determine it? First, if we know the functions that describe the red and green curve, we can set the two equal to determine where they cross. Once we know where they cross, we can use the fundamental theorem to find the total area under the red, then find the total area under the green. The area we want is the difference between the two areas. Read pages 443-451 in your book and then visit this web site, titled area between two curves. Look over the discussion and problems numbered 1 to 5. For each problem, start with the graph link and try the problem on your own; then (if needed) look at the worked solution.
Send the Answer to the following problem to your instructor (you do not need to send too many details, but describe your approach to the problem in a couple of sentences and then give the answer).
Question: What is the area of the shaded region in the graph below?
If your email program is configured properly, you can click on one of the names below. Use the subject line `Your Name, Math 175, Area Problem'.