The curve is
\[\begin{array}{*{35}{l}}
y~=\text{ }\surd \left( x~-\text{ }1 \right) \\
\Rightarrow \text{ }{{y}^{2}}~=\text{ }x\text{ }-\text{ }1 \\
\end{array}\]
Plotting the curve and finding the area of the shaded region between the lines x = 1 and x = 5, we have
Therefore, the area of the required region = 16/3 sq.units