I'm trying to evaluate this double integral, but I can't seem to figure out the limits of integration.
$$ f(x)=\left\{\begin{matrix}e^{x^2}\:\forall \: y<x \\ e^{y^2}\: \forall\: y>x \end{matrix}\right. $$
The double integral of the function is to be evaluated over a domain $D$, where $x>0$ and y<10.
$$\iint_{D}f(x, y)\:dA$$
I understand that x needs to begin at 0, but I can't find where the two parts of the function overlaps. Seems to be at the lines $y \pm x$, but that doesn't really help me.
Any help would be greatly appreciated!