7.1 Integration By Parts/51b: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
No edit summary |
||
Line 6: | Line 6: | ||
\begin{align} | \begin{align} | ||
\int\ln(x)^3dx &= x\ln(x)^3 -3\underbrace{\int\ln(x)^2dx}_{ | \int\ln(x)^3dx &= x\ln(x)^3 -3\underbrace{\int\ln(x)^2dx}_{ | ||
\begin{aligned} | \begin{aligned} | ||
Line 12: | Line 12: | ||
du & = \tfrac{2\ln{(x)}}{x}dx & v &= x | du & = \tfrac{2\ln{(x)}}{x}dx & v &= x | ||
\end{aligned} | \end{aligned} | ||
} | } \\ | ||
&= \int\ln(x)^3dx = x\ln(x)^3 -3 | &= \int\ln(x)^3dx = x\ln(x)^3 -3 |
Revision as of 17:52, 29 November 2022