How can I find the conditional expectation $E[X|X > k]$ of a random variable $X$ distributed logistically with parameters $\mu \in \mathbb{R}$ and $s \ge 0$, cumulative distribution function $$F(x) = \frac{1}{1+e^{-(x-\mu)/s}}$$ and probability density function $$f(x) = \frac{e^{-(x-\mu)/s}}{s(1+e^{-(x-\mu)/s})^2}$$ with $k \in \mathbb{R}$?
I am looking for a way to get the conditional expectation without having to use a simulation.