Moderate -0.3 This is a straightforward integration question requiring students to integrate two standard functions (x^{1/2} and x^{-2}), substitute limits, and simplify to reach a given answer. The 'show that' format removes problem-solving difficulty, and the techniques are routine C2 content, making it slightly easier than average.
2.
\includegraphics[max width=\textwidth, alt={}, center]{5025c118-e763-424b-b2c1-5452953a43a9-1_550_901_817_468}
The diagram shows the curve with equation \(y = \sqrt { x } + \frac { 8 } { x ^ { 2 } } , x > 0\).
Show that the area of the shaded region bounded by the curve, the \(x\)-axis and the lines \(x = 1\) and \(x = 9\) is \(24 \frac { 4 } { 9 }\).
2.\\
\includegraphics[max width=\textwidth, alt={}, center]{5025c118-e763-424b-b2c1-5452953a43a9-1_550_901_817_468}
The diagram shows the curve with equation $y = \sqrt { x } + \frac { 8 } { x ^ { 2 } } , x > 0$.\\
Show that the area of the shaded region bounded by the curve, the $x$-axis and the lines $x = 1$ and $x = 9$ is $24 \frac { 4 } { 9 }$.\\
\hfill \mbox{\textit{OCR C2 Q2 [5]}}