| Exam Board | SPS |
|---|---|
| Module | SPS SM Pure (SPS SM Pure) |
| Year | 2021 |
| Session | May |
| Marks | 4 |
| Topic | Numerical integration |
| Type | Trapezium rule with stated number of strips |
| Difficulty | Moderate -0.8 This is a straightforward application of the trapezium rule with clearly specified parameters (4 strips, width 0.5). Part (a) requires only mechanical substitution into the trapezium rule formula with no conceptual difficulty. Part (b) asks for standard textbook knowledge (use more strips). The question is easier than average as it involves direct application of a numerical method with no problem-solving or insight required. |
| Spec | 1.09f Trapezium rule: numerical integration |
\begin{enumerate}[label=(\alph*)]
\item Use the trapezium rule, with four strips each of width $0.5$, to estimate the value of
$$\int_0^2 e^{x^2} dx$$
giving your answer correct to 3 significant figures. [3]
\item Explain how the trapezium rule could be used to obtain a more accurate estimate. [1]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS SM Pure 2021 Q2 [4]}}