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grinnell.12

  • one year ago

Evaluate the integral ((lnx)^3)/x dx

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  1. grinnell.12
    • one year ago
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    \[\int\limits_{?}^{?} ((\ln x)^{3})/x dx\]

  2. jtvatsim
    • one year ago
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    try a u-sub. :)

  3. grinnell.12
    • one year ago
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    I tried I got one result, it's..

  4. vipul92
    • one year ago
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    put lnx = t so (1/x)=dt

  5. vipul92
    • one year ago
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    then it will become simple

  6. grinnell.12
    • one year ago
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    \[\ln \left| x \right| \frac{ \ln x ^{4} }{ 4 } +C\]

  7. grinnell.12
    • one year ago
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    since the antiderivative of 1/x dx=ln abs(x) +C

  8. grinnell.12
    • one year ago
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    is this correct, or did I make a mistake?

  9. vipul92
    • one year ago
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    correct

  10. grinnell.12
    • one year ago
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    cool ^_^

  11. grinnell.12
    • one year ago
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    thanks!

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