7.1 Integration By Parts/51b

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \text{use Exercise 47 to evaluate} \int(\ln{x})^3dx }

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

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} \int\ln(x)^3dx = x\ln(x)^3 -3\int\ln(x)^2dx \end{align} }