# Area of the intersection of two regions in the plane

## Main Question or Discussion Point

I have two regions, given by $y>\sqrt{2}x - \frac{1}{4x}$ and $y< \sqrt{2}x + \frac{1}{4x}$. How can I find the area of their intersection? If their is no easy analytical way, could someone perhaps use a computer? I am not sure how.

BvU