4.
$$f ( x ) = 2 - x - x ^ { 3 }$$
- Show that \(\mathrm { f } ( x )\) is decreasing for all values of \(x\).
- Verify that the point \(( 1,0 )\) lies on the curve \(y = \mathrm { f } ( x )\).
- Find the area of the region bounded by the curve \(y = \mathrm { f } ( x )\) and the coordinate axes.