7.1 Integration By Parts/53: Difference between revisions

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<math> \underbrace{\int_{0}^{5}xe^{-0.4x}dx}
<math> \underbrace{\int_{0}^{5}xe^{-0.4x}dx}
\begin{aligned}
u~~~=~~~~x
u & = x & dv &= dx \\[0.6ex]
</math>
du & = \tfrac{2\ln{(x)}}{x}dx  & v &= x
\end{aligned}} \\ [2ex] </math>
 
\begin{aligned}
u & = \ln^{2}{(x)}  & dv &= dx \\[0.6ex]
du & = \tfrac{2\ln{(x)}}{x}dx  & v &= x
\end{aligned}} \\ [2ex]

Revision as of 12:34, 13 December 2022