i cant figure out this:indefinate ln(x)/X, the answer is lnx^2/2+c, but i cant figure it out?

Answer 1

Let u=ln x, du=1/x dx. Then:

∫ln x/x dx = ∫u du = u²/2 + C = ln² x/2 + C

Answer 2

Int ln(x) /x dx If you put ln x= z you get 1/x *dx = dz.
Now you havle the Int z*dz = z^2/2 which is [ln(x)]^2 /2.
The way you wrote the answer is wrong