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jaersyn

  • 3 years ago

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.

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  1. CliffSedge
    • 3 years ago
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    Which did you take as your 'u' and which as your 'dv'?

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

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

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

  5. jaersyn
    • 3 years ago
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    yeah

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

  7. jaersyn
    • 3 years ago
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    OHHHHHHHHH

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

  9. lgbasallote
    • 3 years ago
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    welcome

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