Improper Integral

An integral that is not evaluatable by normal means. You must turn this integral into two separate integrals

Example

${\int }_{-1}^1\frac{1}{x}\frac{1}{x}dx={\lim }_{t\to 0}{\int }_{-1}^{t}dx+{\lim }_{u\to 0}{\int }_u^1\frac{1}{x}dx$