Integrate ln(x)/(x^3)

Using integration by parts split it into v'=(1/x^3) and u=ln(x). v=-1/2x^2 and u'=1/x. Integral ln(x)/(x^3) = u*v - Integral u'*v = -ln(x)*1/2x^2 - 1/4x^2 + c

AA
Answered by Archie A. Maths tutor

5394 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Suppose that you go to a party where everyone knows at least one other person, you get a bit bored and wonder whether there are at least two people which know the same number of people there.


By using the substitution x = tan(u), find the integral of [1 / (x^2+1) dx] between the limits 1 and 0


Show that the curve with equation y=x^2-6x+9 and the line with equation y=-x do not intersect.


Find the value of x if the following is true: 3(x – 2) < 8 – 2x


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning