∫(1~e)[(1+lnx)⁴]/xdx
=∫(1~e)[(1+lnx)⁴]d(lnx)
=∫(1~e)[(1+lnx)⁴]d(lnx+1)
=1/5*(1+lnx)⁵ [1-->e]
=1/5*[(1+e)⁵-1]