Calculate the definite integral ln xdx (E is above and 1 is below)

Calculate the definite integral ln xdx (E is above and 1 is below)

The original function of LNX is f (x) = xlnx-x
therefore
Definite integral ln xdx (e above 1 below)
=f(e)-f(1)
=0-(-1)
=1
If you don't know the original function, you can also use the partial integration method