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shaqadry

integrate (1-x) ln x dx

  • one year ago
  • one year ago

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  1. TuringTest
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    by parts

    • one year ago
  2. tomo
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    break it up into two integral (ln(x)) and -x(ln(x)) for the second part do a u substitution where u = ln(x); du = dx/x

    • one year ago
  3. tomo
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    not sure if parts is necessary @TuringTest

    • one year ago
  4. shaqadry
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    not using the udv = uv - vdu?

    • one year ago
  5. wio
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    I think parts is best here.

    • one year ago
  6. TuringTest
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    yes, use dv=1-x and u=ln(x)

    • one year ago
  7. shaqadry
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    can you show me the solution? i've done mine but it seems incorrect

    • one year ago
  8. TuringTest
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    no we cannot give direct answers here, why don't you try and show us how you do?

    • one year ago
  9. shaqadry
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    its pretty long. but my answer is ln x [ x - (x^2/2) ] - x - (x^2/4) + C

    • one year ago
  10. tomo
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    yeah, u sub wouldn't work since u = ln(x), du = dx/x , x*du = dx.

    • one year ago
  11. TuringTest
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    but that answer is correct :)

    • one year ago
  12. TuringTest
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    oh I think except for a minus sign... ln x [ x - (x^2/2) ] - x + (x^2/4) + C

    • one year ago
  13. shaqadry
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    thank you!!

    • one year ago
  14. TuringTest
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    welcome :)

    • one year ago
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