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jaersyn Group Title

integration by parts question. what is the indefinite integral of sqrt(t)ln(t)dt? I got (2/3)(t^(3/2))(ln(t) - 1) + C but the answer key says (2/9)(t^(3/2))(3ln(t) - 2) + C Sorry for lack of symbols, I know it's hard to read.

  • 2 years ago
  • 2 years ago

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  1. CliffSedge Group Title
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    Which did you take as your 'u' and which as your 'dv'?

    • 2 years ago
  2. jaersyn Group Title
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    u = ln(t), du = 1/t (dt); dv = t^(1/2)dt, v = (2t^(3/2)/3)

    • 2 years ago
  3. lgbasallote Group Title
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    your mistake seems to be in vdu

    • 2 years ago
  4. lgbasallote Group Title
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    \[\huge \int vdu = \frac 23\int t^{3/2 - 2/2}\] is that what you did?

    • 2 years ago
  5. jaersyn Group Title
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    yeah

    • 2 years ago
  6. jaersyn Group Title
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    which gets 2/3 * integral of sqrt t

    • 2 years ago
  7. jaersyn Group Title
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    OHHHHHHHHH

    • 2 years ago
  8. jaersyn Group Title
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    i see what i did wrong, i think i'll get the right answer, thanks

    • 2 years ago
  9. lgbasallote Group Title
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    welcome

    • 2 years ago
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