| Exam Board | Edexcel |
|---|---|
| Module | C12 (Core Mathematics 1 & 2) |
| Session | Specimen |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Numerical integration |
| Type | Apply trapezium rule to given table |
| Difficulty | Easy -1.2 This is a straightforward application of the trapezium rule formula with all y-values provided in a table. Students only need to recall and apply the formula with h=0.25 and sum the given values—no problem-solving, curve sketching, or decision-making required, making it easier than average. |
| Spec | 1.09f Trapezium rule: numerical integration |
| \(x\) | 2 | 2.25 | 2.5 | 2.75 | 3 |
| \(y\) | 0.5 | 0.379 | 0.299 | 0.242 | 0.2 |
5.
$$y = \frac { 5 } { 3 x ^ { 2 } - 2 }$$
The table below gives values of $y$ rounded to 3 decimal places where necessary.
\begin{center}
\begin{tabular}{ | l | l | l | l | l | l | }
\hline
$x$ & 2 & 2.25 & 2.5 & 2.75 & 3 \\
\hline
$y$ & 0.5 & 0.379 & 0.299 & 0.242 & 0.2 \\
\hline
\end{tabular}
\end{center}
Use the trapezium rule, with all the values of $y$ from the table above, to find an approximate value for
$$\int _ { 2 } ^ { 3 } \frac { 5 } { 3 x ^ { 2 } - 2 } d x$$
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Sample Assessment Materials
\hfill \mbox{\textit{Edexcel C12 Q5 [4]}}