= Solution
The region is an unbounded wedge in the first quadrant, lying between the rays $y=x/2$ and $y=x$. Both boundaries and the origin are included. For integration in the opposite order, the same region is $y\ge0$ with $y\le x\le2y$.
\Image[/past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2018/paper-1-2018-q12-integration-wedge.png]
{title=The integration wedge and representative vertical and horizontal slices}
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