Question

CHECK PLSSS

Answer 1

Did I solve this correctly? Please validate.

Answer 2

\[\int\limits\limits_{}^{}udv=uv-\int\limits\limits_{}^{}vdu\]
You have:

\[\int\limits\limits_{}^{}udv=uv-\int\limits\limits_{}^{}vdv\]

Answer 3

You got the second integral in your IBP formula mixed up, v*dv should be v*du.

Answer 4

Other than that it looks great though. Seems like you know your integrals well. Make sure you practice double IBP's too

Answer 5

@legomyego180 I did \[\int\limits vdu \] O.o

Answer 6

Your \(du=\frac{ 1 }{ t }\) you have \(\int\limits\limits_{}^{}t^{\frac{ 1 }{ 2 }}\) unless i'm missing something.

Answer 7

http://www.wolframalpha.com/input/?i=integrate+8sqrt(t)ln(t)

Answer 8

But this is telling me that my answer is right. :/

Answer 9

Oh wait, even the website you linked, confirmed that my answer is also right.