9
\includegraphics[max width=\textwidth, alt={}, center]{822f851a-7fae-43b8-9ebc-94588f01e51c-4_597_895_258_625}
The diagram shows the curve \(y = x ^ { 3 } \ln x\) and its minimum point \(M\).
- Find the exact coordinates of \(M\).
- Find the exact area of the shaded region bounded by the curve, the \(x\)-axis and the line \(x = 2\).