Area Under Simple Curves

We need to find the area bounded by the curves , , and . This can be done by calculating the definite integral over the appropriate bounds for the region. After performing the integration, we find the area to be 32 square units. Thus, the correct answer is option (2).

Step 1: Understanding the given curves The given equations represent conic sections. To find the enclosed area, we subtract the two equations: Step 2: Simplifying the expression Step 3: Finding the enclosed area Using the standard formula for enclosed area between two curves: Solving the integral, we obtain: Thus, the enclosed area is .