Question 5 - A-Level Maths

Show that \(A\) has coordinates \(( 0,3 )\).
Find the \(x\) coordinate of the point \(B\).
Find an equation of the normal to \(C\) at the point \(A\). The region \(R\), as shown shaded in Figure 2, is bounded by the curve \(C\), the line \(x = - 1\) and the \(x\)-axis.
Use integration to find the exact area of \(R\).