7.1 Integration By Parts/47

$\int _{}^{}\left(\ln(x)^{n}\right)dx=x\left(\ln(x)^{n}\right)-n\int _{}^{}\left(\ln(x)^{n-1}\right)dx$

Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}u&=\ln(x)^{n}\quad dv=1dx\\[2ex]du&=1dx\quad v=x\\[2ex]\end{aligned}}}