Given IID random variables $X,Y\sim U[0,\mu]$, I am trying to find the below expectation
$$ \mathbb{E}_{X,Y} \left[\frac{(X-s_1)^m}{(X-s_1)^m+(Y-s_2)^m} \right] $$
where $s_1,s_2,m$ are constants (for simplicity, one can consider $m=1$). Can anyone give hints about how to think about this? Thanks!