Question

Find the area of the region enclosed by the parabola x² = y, the line y = x + 2 and x-axis

Answer 1

The area of the region enclosed by the parabola, x² = y, the line, y = x + 2, and x-axis is represented by the shaded region OABCO as

The point of intersection of the parabola, x² = y, and the line, y = x + 2, is A (–1, 1).

∴ Area OABCO = Area (BCA) + Area COAC