The curves are y2 = 4x … (i) and x2 = 4y … (ii)
On solving the equations, we get
From (ii),
y = x2/4
Putting value of y in (i), we have
\[\begin{array}{*{35}{l}}
{{\left( {{x}^{2}}/4 \right)}^{2}}~=\text{ }4x \\
{{x}^{4}}/16\text{ }=\text{ }4x \\
{{x}^{4}}~=\text{ }64x \\
{{x}^{4}}~\text{ }-64x\text{ }=\text{ }0 \\
So,\text{ }x\text{ }=\text{ }0,\text{ }4 \\
\end{array}\]
Now, the required area is the shaded region