![](https://cdn.mathpix.com/cropped/68840ece-e49c-4b14-a720-a9d105d091f7-12.jpg?height=852&width=1671&top_left_y=309&top_left_x=243) The diagram shows part of the curve \(y=3+\frac{1}{1+x}\) and part of the curve \(y=4-\frac{12}{(1+x)^{2}}\). The curve \(y=3+\frac{1}{1+x}\) meets the \(y\)-axis at the point \(A\). The curve \(y=4-\frac{12}{(1+x)^{2}}\) meets the \(x\)-axis at the point \(C\). The curves intersect at the point \(B\). Find the area of the shaded region \(O A B C\). Give your answer in exact form.

2026 - M/J - 0606/21 | Q11

0/11

0 correct · 0 wrong

![](https://cdn.mathpix.com/cropped/68840ece-e49c-4b14-a7...