2.76: Stationary point and shaded area

0606/23/O/N/19 — Question 7 · 10 marks

2.76 diagram
The diagram shows part of the curve y=x+6(3x+2)2y = x + \dfrac{6}{(3x+2)^{2}} and the line x=2x = 2.
(i)
Find, correct to 22 decimal places, the coordinates of the stationary point.
[6]
(ii)
Find the area of the shaded region, showing all your working.
[4]