Given curves are y2 = 9x and y = 3x
Now, solving the two equations we have
(3x)2 = 9x
9x2 = 9x
9x2 – 9x = 0 ⇒ 9x(x – 1) = 0
Thus, x = 0, 1
So, the area of the shaded region is given by
= ar(region OAB) – ar (Δ OAB)
Therefore, the required area is ½ sq.units.