The curve is
![\[\begin{array}{*{35}{l}} y~=\text{ }\surd \left( x~-\text{ }1 \right) \\ \Rightarrow \text{ }{{y}^{2}}~=\text{ }x\text{ }-\text{ }1 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-2b49c37015db2dc2078ef86ceb668fcd_l3.png "Rendered by QuickLaTeX.com")
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
Draw a rough sketch of the curve y = √(x – 1) in the interval [1, 5]. Find the area under the curve and between the lines x = 1 and x = 5.
Draw a rough sketch of the curve y = √(x – 1) in the interval [1, 5]. Find the area under the curve and between the lines x = 1 and x = 5.