anonymous
  • anonymous
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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Which did you take as your 'u' and which as your 'dv'?
anonymous
  • anonymous
u = ln(t), du = 1/t (dt); dv = t^(1/2)dt, v = (2t^(3/2)/3)
lgbasallote
  • lgbasallote
your mistake seems to be in vdu

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lgbasallote
  • lgbasallote
\[\huge \int vdu = \frac 23\int t^{3/2 - 2/2}\] is that what you did?
anonymous
  • anonymous
yeah
anonymous
  • anonymous
which gets 2/3 * integral of sqrt t
anonymous
  • anonymous
OHHHHHHHHH
anonymous
  • anonymous
i see what i did wrong, i think i'll get the right answer, thanks
lgbasallote
  • lgbasallote
welcome

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