1. Definite Integrals
5.6
Area Between Curves

2. Now to work So far we have given definite integrals – for instance
But what does this mean?

3. Since integration gives us the area under a curve, that problem is specifically asking for the area of the curve
y = 16 – x2
Now you will see these same problems in word problem format. You might have to determine endpoints, but this is easy.
(0,16)
(4,0)

4. Advice
As always, take it if you want. I would suggest a quick sketch of the graph so that you can get an idea of all intercepts so you know the area of integration.
Don’t remember how to graph? Plot points.

5. Examples 1. Find the area between the curve and the x axis.
Find the total area of the region between the curve and the x axis.
3. Find the total area of one cycle of the cos x graph.