- The continuous curve \(C\) has equation \(y = \mathrm { f } ( x )\).
A table of values of \(x\) and \(y\) for \(y = \mathrm { f } ( x )\) is shown below.
| \(x\) | 4.0 | 4.2 | 4.4 | 4.6 | 4.8 | 5.0 |
| \(y\) | 9.2 | 8.4556 | 3.8512 | 5.0342 | 7.8297 | 8.6 |
Use the trapezium rule with all the values of \(y\) in the table to find an approximation for
$$\int _ { 4 } ^ { 5 } f ( x ) d x$$
giving your answer to 3 decimal places.