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Asylum15 Group Title

- Integral!

  • one year ago
  • one year ago

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  1. Asylum15 Group Title
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    \[\int\limits \frac{ lnx }{ x }\]

    • one year ago
  2. Asylum15 Group Title
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    Whos feelin brave? :D

    • one year ago
  3. TuringTest Group Title
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    I'm thinking by parts...

    • one year ago
  4. surdawi Group Title
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    u du

    • one year ago
  5. Siddharth18 Group Title
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    do it by substitution, let lnx= u

    • one year ago
  6. TuringTest Group Title
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    haha, oh yeah, I overthought it :P

    • one year ago
  7. Asylum15 Group Title
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    Can U be lnx ? It's above the line

    • one year ago
  8. TuringTest Group Title
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    so?

    • one year ago
  9. surdawi Group Title
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    |dw:1353166961045:dw|

    • one year ago
  10. Siddharth18 Group Title
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    |dw:1353035523772:dw|

    • one year ago
  11. waterineyes Group Title
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    Put ln(x) = u So: \(\frac{1}{x} \cdot dx =du\)

    • one year ago
  12. Asylum15 Group Title
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    Thank you guys

    • one year ago
  13. waterineyes Group Title
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    Just try and if you face any problem, then do ask us...

    • one year ago
  14. Asylum15 Group Title
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    Wait, can you expand on that for me? I have \[dx = \frac{ du }{ 1/x }\]

    • one year ago
  15. waterineyes Group Title
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    Are you converting a simple solution to hard one??

    • one year ago
  16. Asylum15 Group Title
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    Looks like it xD

    • one year ago
  17. waterineyes Group Title
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    |dw:1353167337486:dw|

    • one year ago
  18. waterineyes Group Title
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    Sorry, my handwriting is not too good..

    • one year ago
  19. Asylum15 Group Title
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    Is this a direct manipulation or a substitution?

    • one year ago
  20. waterineyes Group Title
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    Is this not Substitution ?? We are substituting u in place of x..

    • one year ago
  21. Asylum15 Group Title
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    Ah, ok, so lnx. Differentiation of ln = 1 over So 1/x right?

    • one year ago
  22. waterineyes Group Title
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    Yes..

    • one year ago
  23. waterineyes Group Title
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    \[\frac{d}{dx}\ln(x) = \frac{1}{x}\]

    • one year ago
  24. Asylum15 Group Title
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    So, let me just clarify. lnx / x = 1/x?

    • one year ago
  25. Asylum15 Group Title
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    Where does the x under the line go?

    • one year ago
  26. waterineyes Group Title
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    See : \[\ln(x) = u\] Right ??

    • one year ago
  27. Asylum15 Group Title
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    Yes

    • one year ago
  28. waterineyes Group Title
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    Now take derivative both the sides and tell what did you get??

    • one year ago
  29. Asylum15 Group Title
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    Next, i've been taught to do du/dx

    • one year ago
  30. Asylum15 Group Title
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    1/x . dx

    • one year ago
  31. waterineyes Group Title
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    Write them properly.. with LHS and RHS..

    • one year ago
  32. Asylum15 Group Title
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    Little lost here, sorry :(

    • one year ago
  33. Asylum15 Group Title
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    1/x . dx = du

    • one year ago
  34. waterineyes Group Title
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    Do you know how it came??

    • one year ago
  35. Asylum15 Group Title
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    Yes i get this.

    • one year ago
  36. Asylum15 Group Title
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    What is the next step?

    • one year ago
  37. waterineyes Group Title
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    Just use this to substitute these values in your question..

    • one year ago
  38. Asylum15 Group Title
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    I think the way i've been taught is conflicting... I usually write dx = du / 1/x

    • one year ago
  39. Asylum15 Group Title
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    If substituting

    • one year ago
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