Past exam of the mathematics course of the year 1 of the natural sciences course of the University of Cambridge / 2022 / Paper 1 / 12 / a / ii / Solution

The inequalities describing the region are $0\le y\le 1$ and $2y\le x\le 2$. It is the closed triangle bounded by $y=0$, $x=2$ and $x=2y$, with verticesA horizontal slice runs from the sloping edge $x=2y$ to the vertical edge $x=2$.