| Exam Board | AQA |
| Module | AS Paper 2 (AS Paper 2) |
| Year | 2019 |
| Session | June |
| Topic | Area Under & Between Curves |
6 A curve has equation \(y = \frac { 2 } { x \sqrt { x } }\)
\includegraphics[max width=\textwidth, alt={}, center]{b45dc98e-1699-47c9-9228-5abe0e5c9195-05_508_549_420_744}
The region enclosed between the curve, the \(x\)-axis and the lines \(x = 1\) and \(x = a\) has area 3 units.
Given that \(a > 1\), find the value of \(a\).
Fully justify your answer.