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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.
 one year ago
 one year 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.
 one year ago
 one year ago

This Question is Closed

CliffSedgeBest ResponseYou've already chosen the best response.0
Which did you take as your 'u' and which as your 'dv'?
 one year ago

jaersynBest ResponseYou've already chosen the best response.1
u = ln(t), du = 1/t (dt); dv = t^(1/2)dt, v = (2t^(3/2)/3)
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
your mistake seems to be in vdu
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.2
\[\huge \int vdu = \frac 23\int t^{3/2  2/2}\] is that what you did?
 one year ago

jaersynBest ResponseYou've already chosen the best response.1
which gets 2/3 * integral of sqrt t
 one year ago

jaersynBest ResponseYou've already chosen the best response.1
i see what i did wrong, i think i'll get the right answer, thanks
 one year ago
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