2024 ACS(BR) P2 Q11

The diagram shows part of the curve \(y=\dfrac8{2x+3}\). The tangent to the curve at the point \(S\left(\dfrac32,\dfrac43\right)\) intersects the \(y\)-axis at \(R\).

1. Find the \(y\)-coordinate of \(R\).[4]
2. Find the exact area of the shaded region. Express your answer in the form of \(\left(\ln a-\dfrac bc\right)\text{ units}^2\), where \(a\), \(b\) and \(c\) are integers.[6]