Easy -1.2 This is a straightforward application of the trapezium rule with clearly specified intervals and a simple function to evaluate. Students only need to substitute x-values (1, 2, 3, 4) into the given formula and apply the standard trapezium rule formula—pure procedural recall with no problem-solving or conceptual challenges.
2.
\includegraphics[max width=\textwidth, alt={}, center]{e4afa57d-5be3-42a6-ab35-39b0fdcc1681-1_554_848_685_461}
The diagram shows the curve with equation \(y = 4 x + \frac { 1 } { x } , x > 0\).
Use the trapezium rule with three intervals, each of width 1 , to estimate the area of the shaded region bounded by the curve, the \(x\)-axis and the lines \(x = 1\) and \(x = 4\).
2.\\
\includegraphics[max width=\textwidth, alt={}, center]{e4afa57d-5be3-42a6-ab35-39b0fdcc1681-1_554_848_685_461}
The diagram shows the curve with equation $y = 4 x + \frac { 1 } { x } , x > 0$.\\
Use the trapezium rule with three intervals, each of width 1 , to estimate the area of the shaded region bounded by the curve, the $x$-axis and the lines $x = 1$ and $x = 4$.\\
\hfill \mbox{\textit{OCR C2 Q2 [4]}}