Integrate f(x)=lnx

Integration by parts formula is given in all A level maths formula books however would be of use to memorise Formula: INT(uv')dx= uv- INT(u'v)dx Hint: write lnx as (1).lnxlet u=lnxhence u' = du/dx = 1/x let v' = 1hence v = INT(v')dx = x= x.lnx - INT(x.1/x)dx=x.lnx - INT(1)dx=x.lnx - x +c