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

Question

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

Philoid · Accepted Answer

We can see from the figure that the area of the region bounded by the parabola x² = y, the line y = x + 2 and the x-axis is shown by shaded region that is Area OACO.

The points of intersection of both the curves are A (-1, 1) and C (2, 4).

Thus,

Area of OACO

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

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