Question

\[\LARGE \int\limits \ln x\; dx\] ...

Answer 1

use integration by parts, u = lnx and v = 1

Answer 2

xlnx-x+c

Answer 3

x lnx -x + C

Answer 4

i think xlnx - x +c

Answer 5

\[\int\limits lnx dx \]\[= xlnx - \int\limits x d(lnx)\]\[ = xlnx - \int\limits x/x dx\]\[ = xlnx - \int\limits dx\]\[ = xlnx -x+C\]