7.1 Integration By Parts/53: Difference between revisions
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<math> \underbrace{\int_{0}^{5}xe^{-0.4x}dx} </math> | <math> \underbrace{\int_{0}^{5}xe^{-0.4x}dx} </math> | ||
\begin{aligned} | \begin{aligned} | ||
u & = | u & = \x & dv &= dx \\[0.6ex] | ||
du & = \tfrac{2\ln{(x)}}{x}dx & v &= x | |||
\end{aligned}} \\ [2ex] | |||
\begin{aligned} | |||
u & = \ln^{2}{(x)} & dv &= dx \\[0.6ex] | |||
du & = \tfrac{2\ln{(x)}}{x}dx & v &= x | du & = \tfrac{2\ln{(x)}}{x}dx & v &= x | ||
\end{aligned}} \\ [2ex] | \end{aligned}} \\ [2ex] | ||
Revision as of 12:31, 13 December 2022
\begin{aligned} u & = \x & dv &= dx \\[0.6ex] du & = \tfrac{2\ln{(x)}}{x}dx & v &= x \end{aligned}} \\ [2ex]
\begin{aligned} u & = \ln^{2}{(x)} & dv &= dx \\[0.6ex] du & = \tfrac{2\ln{(x)}}{x}dx & v &= x \end{aligned}} \\ [2ex]