Question

integration log.ex.dx​

Answer 1

Strategy: Use Integration by Parts.

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.