[填空题]
Let f(x)=$\frac{1}{\sqrt{3 x-6}}$ , for x>2 .
1. Find $\int(f(x))^{2} \mathrm{~d} x$ .
Part of the graph of f is shown in the following diagram.
The shaded region R is enclosed by the graph of f , the x -axis, and the lines x=3 and x=11 .
2. Find the exact volume of the solid formed when R is rotated $ 360^{\circ} $ about the x -axis.
