integration by parts

Use integration by parts to integrate t *lnt with limits t=k and t=1

I did
u=ln t
du/dt = 1.t
dv/dt = t
v=1

so [lnt *1] - integrate 1 *(1/t) dt
then insert in limits t=k and t=1

but it didn't come to the answer of (1/2k^2) * lnk - 1/4k^2 + 1/4

the question also says k is positive.

Reply 1

Notnek

21

Original post by 0utdoorz

dv/dt = t
v=1

This is not correct.

Reply 2

Indeterminate

3

Original post by 0utdoorz

Use integration by parts to integrate t *lnt with limits t=k and t=1

I did
u=ln t
du/dt = 1.t
dv/dt = t
v=1

so [lnt *1] - integrate 1 *(1/t) dt
then insert in limits t=k and t=1

but it didn't come to the answer of (1/2k^2) * lnk - 1/4k^2 + 1/4

the question also says k is positive.