(Solved): The diagram shows the line y=1 and part of the curve y=(x+1)2. (i) Show that the equation ...

The diagram shows the line $$y=1$$ and part of the curve $$y=\frac{2}{\sqrt{}(x+?1)}$$. (i) Show that the equation $$y=\frac{2}{\sqrt{}(x+1)}$$ can be written in the form $$x=\frac{4}{y^2}?1$$. (ii) Find $$?\left(\frac{4}{y^2}?1\right)dy$$. Hence find the area of the shaded region. [5] (iii) The shaded region is rotated through $$360^{?}$$ about the $$y$$-axis. Find the exact value of the volume [5] of revolution obtained.