Area Between Two Curves

We are asked to find the area between the curves and .
Step 1: Find the points of intersection.
To find the points where the curves intersect, set: Let . Then the equation becomes: Thus, or . Since , the corresponding values of are and .
Step 2: Set up the integral.
The area between the curves is
given by the integral:

Step 3: Simplify and integrate.
Let , so . When , , and when , . The integral becomes: Thus, the total area is: