2.
$$y = \sqrt { } \left( 5 ^ { x } + 2 \right)$$
- Complete the table below, giving the values of \(y\) to 3 decimal places.
| \(x\) | 0 | 0.5 | 1 | 1.5 | 2 |
| \(y\) | | | 2.646 | 3.630 | |
- Use the trapezium rule, with all the values of \(y\) from your table, to find an approximation for the value of \(\int _ { 0 } ^ { 2 } \sqrt { } \left( 5 ^ { x } + 2 \right) \mathrm { d } x\).