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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
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

This Question is Closed

CliffSedge Group TitleBest ResponseYou've already chosen the best response.0
Which did you take as your 'u' and which as your 'dv'?
 2 years ago

jaersyn Group TitleBest 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)
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
your mistake seems to be in vdu
 2 years ago

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

jaersyn Group TitleBest ResponseYou've already chosen the best response.1
which gets 2/3 * integral of sqrt t
 2 years ago

jaersyn Group TitleBest ResponseYou've already chosen the best response.1
i see what i did wrong, i think i'll get the right answer, thanks
 2 years ago

lgbasallote Group TitleBest ResponseYou've already chosen the best response.2
welcome
 2 years ago
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