3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{824da843-3ea1-4a83-9170-d0082b2e8d1c-2_476_880_1254_539}
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\caption{Figure 1}
\end{figure}
Figure 1 shows the curve with equation \(y = \frac { 4 x } { ( x + 1 ) ^ { 2 } }\).
The shaded region is bounded by the curve, the \(x\)-axis and the line \(x = 1\).
- Use the trapezium rule with four intervals of equal width to find an estimate for the area of the shaded region.
- State, with a reason, whether your answer to part (a) is an under-estimate or an over-estimate of the true area.