1. Finding the Area Between Curves

2. Objective
To be able to find the area between curves using a definite integral.

3. How could I find the area between these curves?
Well I know a definite integral can find the area between a curve and the x-axis.

4. How could I find the area between these curves?
So I could find the area under the upper and subtract the area under the lower.

5. Finding the area between two curves.
Find the x-values where the curves intersect. These will be your bounds.
Take the definite integral of the upper minus the lower function.
Where f(x) is above g(x) and b > a

6. Find the area between
Now evaluate the integral of the difference to find the area
First find the intersections of the two, where f(x) = g(x)