9709 P13 - Nov 2015 - Q10
1285
The points \(A\left(-\frac{1}{2}, 3\right)\) and \(B\left(1, 2\frac{1}{4}\right)\) lie on the curve \(y = 2x + (x+1)^{-2}\), as shown in the diagram.
(ii) Find the distance \(AB\).
(iii) Find, showing all necessary working, the area of the shaded region.
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