A community for students.
Here's the question you clicked on:
 0 viewing
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.
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.

This Question is Closed

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

jaersyn
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.2your mistake seems to be in vdu

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

jaersyn
 3 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
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.