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mathmonster Group Title

I am trying to get the integral

  • 3 years ago
  • 3 years ago

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  1. mathmonster Group Title
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    I am writingit now

    • 3 years ago
  2. mathmonster Group Title
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    \[\int\limits_{2}^{4} \left(\begin{matrix}dx \\ /x(lnx)^2\end{matrix}\right)\]

    • 3 years ago
  3. mathmonster Group Title
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    that slash means division

    • 3 years ago
  4. abtrehearn Group Title
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    Let u = ln x, du = dx/x, and substitute into the original integral to reduce it to something more recognizable.

    • 3 years ago
  5. mathmonster Group Title
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    so, let = 1nx, okay let me try that, cause i have been letting u = (lnx)^2 and its been a nightmare

    • 3 years ago
  6. abtrehearn Group Title
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    I think that plain ln x for u will be munc less of a nightmare.

    • 3 years ago
  7. mathmonster Group Title
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    so in did that and got so far u^-1/-1

    • 3 years ago
  8. abtrehearn Group Title
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    That's the same as\[-\int\limits_{}^{}du/u.\]

    • 3 years ago
  9. abtrehearn Group Title
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    Familiar?

    • 3 years ago
  10. mathmonster Group Title
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    yup

    • 3 years ago
  11. abtrehearn Group Title
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    Get it back to original x and you're done.

    • 3 years ago
  12. mathmonster Group Title
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    i am still stuck at this part: \[\int\limits_{2}^{4} du/u^2\]

    • 3 years ago
  13. mathmonster Group Title
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    i got it

    • 3 years ago
  14. abtrehearn Group Title
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    Power formula. Rewrite as\[\int\limits_{}^{}u^{-2}du\]

    • 3 years ago
  15. abtrehearn Group Title
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    :^)

    • 3 years ago
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