## Monthly Archives: December 2017

### Logs on a dogbone

The problem is to evaluate the following integral: $$\int_0^1 dx \frac{\log^2{x}}{\sqrt{x-x^2}}$$ The integral is well-suited to real methods but the question of whether this integral was suited at all to complex methods has kept me up for…many nights. At first, I did get the result in terms of a limit of another integral. But […]