The diagram shows the straight line $2x+y=-5$ and part of the curve $xy+3=0$. The straight line intersects the $x$-axis at the point $A$ and intersects the curve at the point $B$. The point $C$ lies on the curve. The point $D$ has coordinates (1, 0). The line $CD$ is parallel to the $y$-axis.

Find the coordinates of each of the points $A$ and $B$.

1.2. Find the area of the shaded region, giving your answer in the form $p+lnq$, where $p$ and $q$ are positive integers.