anonymous
  • anonymous
I am trying to get the integral
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
I am writingit now
anonymous
  • anonymous
\[\int\limits_{2}^{4} \left(\begin{matrix}dx \\ /x(lnx)^2\end{matrix}\right)\]
anonymous
  • anonymous
that slash means division

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anonymous
  • anonymous
Let u = ln x, du = dx/x, and substitute into the original integral to reduce it to something more recognizable.
anonymous
  • anonymous
so, let = 1nx, okay let me try that, cause i have been letting u = (lnx)^2 and its been a nightmare
anonymous
  • anonymous
I think that plain ln x for u will be munc less of a nightmare.
anonymous
  • anonymous
so in did that and got so far u^-1/-1
anonymous
  • anonymous
That's the same as\[-\int\limits_{}^{}du/u.\]
anonymous
  • anonymous
Familiar?
anonymous
  • anonymous
yup
anonymous
  • anonymous
Get it back to original x and you're done.
anonymous
  • anonymous
i am still stuck at this part: \[\int\limits_{2}^{4} du/u^2\]
anonymous
  • anonymous
i got it
anonymous
  • anonymous
Power formula. Rewrite as\[\int\limits_{}^{}u^{-2}du\]
anonymous
  • anonymous
:^)

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