Areas bounded by a curve and the x-axis; areas between two curves.

1. Finding the Area Between Curves
Spirals Go Round in Circles

2. And, finally, find the derivative of this function:

3. Find the total area enclosed between the graph of ƒ(x) and the x-axis.

4. =
This isn't really what we're looking for.
This will give us the quot;integralquot; of ƒ for -2 ≤ x ≤ 2.
We're looking for area.
Area = —
What goes here? Why?
Another way of doing this would be:
How would we do this on a calculator?

6. What about finding the area between two curves, such as ƒ and g below?
Is this the right thing to do?
What goes here?
How do we figure that out?
—
What goes here? Why?
Or we could just do this ...