(3)
From (1), (2) and (3), it is concluded that the area of the region OAQBO = area of
the region OPQAO = area of the region OBQRO, i e , area bounded by parabolas
y2 = 4x and x2 = 4y divides the area of the square in three equal parts Example 14 Find the area of the region
{(x, y) : 0 ≤ y ≤ x2 + 1, 0 ≤ y ≤ x + 1, 0 ≤ x ≤ 2}
Solution Let us first sketch the region whose area is to
be found out