I need to figure out the domain of integration for the expression $\int \int dx_1 dx_2$. The answer should come from the two constraints below:
$$ x_1 + x_2 = 1- \frac{\mu^2}{s}$$
And
$$ (1 - x_1)(1 - x_2) = \frac{\mu^2}{s} $$
The final answer is
$$\int_{0}^{1-\frac{\mu^2}{s}}dx_1 \int_{1-x_1-\frac{\mu^2}{s}}^{1 - \frac{t}{s(1-x_1)}}dx_2$$
I am not sure what $t$ is, but I do not care.
Here’s what I’ve done. I assumed that the two curves given by the conditions coincide at some points. Using this I was able to find that $x_1$ does in fact have two solutions: $0$ and $1-\frac{\mu^2}{s}$, which I guess explains the first integral. I need now to understand the boundaries of the second integral.
Can anybody please help?