7.1 Integration By Parts/51b

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

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

${\begin{aligned}\int \ln(x)^{3}dx=x\ln(x)^{3}-3\int \ln(x)^{2}dx\end{aligned}}$