integrate lnxdx

Question

integrate lnxdx

anonymous · Answer

TIP:   You can do this one using integration by parts...

anonymous · Answer

please help me out

gorv · Answer

ln(x) dx = x ln(x) - int (1/x)x dx = x ln(x) - int 1 dx

x ln(x) - x

anonymous · Answer

Aww you beat me, but I'll type anyway

gorv · Answer

or ln(x) dx

set 
  u = ln(x),    dv = dx 
then we find 
  du = (1/x) dx,    v = x

substitute

 ln(x) dx =  u dv

and use integration by parts

= uv -  v du

substitute u=ln(x), v=x, and du=(1/x)dx

= ln(x) x -  x (1/x) dx 
= ln(x) x -  dx 
= ln(x) x - x + C 
= x ln(x) - x + C.

anonymous · Answer

Nevermind hahah

gorv · Answer

@taljaards 
hey buddy we r not here to beat each other 
it is pssible that he didn't get mine bt can get urs ...its not ur defeat n mine victory

anonymous · Answer

Hahahah I know :)
Nope, my method was exactly the same as yours.  Thanks for the quick reply, I'm sure the asker appreciates - I always do when asking a Q :)

anonymous · Answer

i highly appreciate your help guys. thanks a lot