8.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{922f404e-12d5-490b-9c8d-509f3a304c1e-14_656_999_146_429}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows the curve with equation \(y = \sqrt { \frac { x } { x + 1 } }\).
The shaded region is bounded by the curve, the \(x\)-axis and the line \(x = 3\).
- Use the trapezium rule with three strips to find an estimate for the area of the shaded region.
- Use the trapezium rule with six strips to find an improved estimate for the area of the shaded region.
The shaded region is rotated through \(2 \pi\) radians about the \(x\)-axis.
- Show that the volume of the solid formed is \(\pi ( 3 - \ln 4 )\).
8. continued
8. continued