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

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

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

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

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

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