9. The following is a table of values for \(y = \sqrt { } ( 1 + \sin x )\), where \(x\) is in radians.
| \(x\) | 0 | 0.5 | 1 | 1.5 | 2 |
| \(y\) | 1 | 1.216 | \(p\) | 1.413 | \(q\) |
- Find the value of \(p\) and the value of \(q\).
- Use the trapezium rule and all the values of \(y\) in the completed table to obtain an estimate of \(I\), where
$$I = \int _ { 0 } ^ { 2 } \sqrt { } ( 1 + \sin x ) \mathrm { d } x$$