Area Under Simple Curves

Step 1: Find the Points of Intersection
To find the points of intersection between the curve and the line , substitute into the equation : Thus, and .
Therefore, the points of intersection are and .
Step 2: Set up the Integral
To find the area enclosed, we integrate the difference between the two curves from to :
Step 3: Evaluate the Integral
After performing the integration, we find that the area is .
Step 4: Conclusion
Thus, the area enclosed is .