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Mathematics 19 Online
OpenStudy (anonymous):

integral

OpenStudy (anonymous):

\[\int\limits_{}^{}\frac{ dv }{vlnv}\]

OpenStudy (anonymous):

\[u=lnv and du=dv/v\]

OpenStudy (anonymous):

wht next?

OpenStudy (solomonzelman):

no `u`s \[Ru l e,~~~~~~~~~~\int\limits_{ }^{ } \frac{1}{x}=\log(x)+C\]

OpenStudy (anonymous):

can u solve?

OpenStudy (solomonzelman):

not x, v

OpenStudy (solomonzelman):

∫ dv / vlog(v) dv dv ∫ 1/ vlog(v) dv dv log(log[v] ) +C

OpenStudy (solomonzelman):

you can also say if you want to (I wouldn't) log(log[v] )\(\normalsize \color{slate}{ ^{dv} }\) +C

OpenStudy (solomonzelman):

I would just leave the dv log(log[v] ) +C

OpenStudy (anonymous):

thnks ;)

OpenStudy (solomonzelman):

yw

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