Final answer:
The question involves finding the region bounded by the curves y = x - 2 and y² = x. This requires solving for intersections and setting up an integral with these limits to find the area.
Step-by-step explanation:
The student's question pertains to the intersection and bounded region between two curves, specifically y = x - 2 and y² = x. Calculating the region bounded by these two curves involves finding the points of intersection, setting up the integrals for the area, and evaluating them according to the proper limits of integration.
To find the intersection points, we would set the equations equal to each other and solve for x. The positive and negative solutions from the quadratic equation then give us the range of x-values over which the region extends. We can then integrate with respect to x, using these points as limits to find the area of the region bounded by the two curves.