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anonymous

  • 5 years ago

how to find integration of ln(x) with respect to x, approximation is allowed.

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  1. anonymous
    • 5 years ago
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    graphical or any kind of logical solution is acceptable....

  2. anonymous
    • 5 years ago
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    Use integration by parts.. \[\int\limits \ln(x)dx \rightarrow f=x, F=x, g=\ln(x), g'=\frac{1}{x}\] \[xln(x)-\int\limits x \frac{1}{x}dx \rightarrow xln(x)-\int\limits dx \rightarrow xln(x)-x+C \rightarrow x[\ln(x)-1]+C\]

  3. anonymous
    • 5 years ago
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    thank u very much...

  4. anonymous
    • 5 years ago
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    sure thing

  5. anonymous
    • 5 years ago
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    but if it is a definite integral problem and x->0. then how would you approach?

  6. anonymous
    • 5 years ago
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    sorry made a typo litte f=1

  7. anonymous
    • 5 years ago
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    read this link about improper integrals.... it also has examples http://tutorial.math.lamar.edu/Classes/CalcII/ImproperIntegrals.aspx

  8. anonymous
    • 5 years ago
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    as far i understood it should go to infinity..

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