6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{857bf144-b03e-4b46-b043-1119b30f9e78-3_572_954_246_497}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows the curve with equation \(y = \left( x - \log _ { 10 } x \right) ^ { 2 } , x > 0\).
- Copy and complete the table below for points on the curve, giving the \(y\) values to 2 decimal places.
The shaded area is bounded by the curve, the \(x\)-axis and the lines \(x = 2\) and \(x = 6\).
- Use the trapezium rule with all the values in your table to estimate the area of the shaded region.
- State, with a reason, whether your answer to part (b) is an under-estimate or an over-estimate of the true area.