$$\int_{x=0}^{y} \frac{a/(1+e^{b(c-x)}) - a/(1+e^{b(c-y)})}{(y-x)^{3/2}}dx$$
Where did this integral come from? I don't see the solution immediately, but often it helps to know the context.
If I'm looking at it right, the integrand goes to either $+\infty$ or $-\infty$ at $x=y$, so it's an improper integral.
If anyone else has an idea of how to approach it, feel free to jump in.
- Hollywood