Moderate -0.8 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 into 2^x and apply the standard formula—no problem-solving or conceptual understanding beyond basic procedure is required.
\includegraphics{figure_2}
The diagram shows the curve with equation \(y = 2^x\).
Use the trapezium rule with four intervals, each of width 1, to estimate the area of the shaded region bounded by the curve, the \(x\)-axis and the lines \(x = -2\) and \(x = 2\). [4]
\includegraphics{figure_2}
The diagram shows the curve with equation $y = 2^x$.
Use the trapezium rule with four intervals, each of width 1, to estimate the area of the shaded region bounded by the curve, the $x$-axis and the lines $x = -2$ and $x = 2$. [4]
\hfill \mbox{\textit{OCR C2 Q2 [4]}}