1.

The diagram shows part of the curve $xy=2$ intersecting the straight line $y=5x-3$ at the point $A$.
The straight line meets the $x$-axis at the point $B$. The point $C$ lies on the $x$-axis and the point $D$ lies on the curve such that the line $CD$ has equation $x=3$. Find the exact area of the shaded region, giving your answer in the form $p+lnq$, where $p$ and $q$ are constants.