7.1 Integration By Parts/51b

${\text{Use exercise 47 to evaluate}}\int (\ln {x})^{3}dx$

${\text{Exercise 47: }}x(\ln {x})^{n}-n\int (\ln {x})^{n-1}dx$

Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\begin{aligned}\int \ln(x)^{3}dx&=x\ln(x)^{3}-3\int \ln(x)^{2}dx\\{\begin{aligned}c&=1\\ddd&=12\\\end{aligned}}\int \ln(x)^{3}dx&=x\ln(x)^{3}-3\int \ln(x)^{2}dx\\\end{aligned}}}