3. \(y = \sqrt { } \left( 10 x - x ^ { 2 } \right)\).
- Complete the table below, giving the values of \(y\) to 2 decimal places.
| \(x\) | 1 | 1.4 | 1.8 | 2.2 | 2.6 | 3 |
| \(y\) | 3 | 3.47 | | | 4.39 | |
- Use the trapezium rule, with all the values of \(y\) from your table, to find an approximation for the value of \(\int _ { 1 } ^ { 3 } \sqrt { } \left( 10 x - x ^ { 2 } \right) \mathrm { d } x\).