Primitive of Power of x over Logarithm of x

Theorem

 * $\displaystyle \int \frac {x^m \ \mathrm d x} {\ln x} = \ln \left({\ln x}\right) + \left({m + 1}\right) \ln x + \sum_{k \mathop \ge 2}^n \frac {\left({m + 1}\right)^k \left({\ln x}\right)^k} {k \times k!} + C$