how do i show that $\displaystyle \frac{d^2}{dx^2}\int_{-1} ^1 {log|x-t|}dt$=$\displaystyle \int_{-1}^1 \frac{-1}{(x-t)^2}dt$ is INCORRECT?

i know that to interchange limit and integral, a function must be uniformly convergent to its limit. but i dont know exactly how to show it.