AQA AS Paper 2 2019 June — Question 6

Exam BoardAQA
ModuleAS Paper 2 (AS Paper 2)
Year2019
SessionJune
TopicArea 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.