Primitive of Power of x by Logarithm of x/Example

Example of Primitive of Power of x by Logarithm of x

 * $\ds \int_1^n x^m \ln x \rd x = \frac {n^{m + 1} } {m + 1} \paren {\ln n - \frac 1 {m + 1} } + \frac 1 {\paren {m + 1}^2}$

where $m \ne -1$.