1.69: Shaded area with hyperbola and straight line

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 $x = 3$.