How do you integrate ln(x) with respect to x?

This integral must be done using integration by parts. Therefore, we set u=ln(x) and dv=dx, which gives du=1/x and v=x.
Then, using the integration by parts formula the integral now equals x*ln(x)-int[dx]. This is then easily solved to give x[ln(x)-1], and we can't forget the constant of integration so to the end of this we add "+ c", giving a final answer of x[ln(x)-1] + c.

Answered by Oliver H. Maths tutor

4429 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

When finding the turning points of a curve, how can I tell if it is a maximum, minimum or a point of inflection?


Find the integral of 3x-x^(3/2)


Simplify: (3x+8)/5 > 2x + 1


Sketch the curve with the equation y=x^2 +4x+4, labelling the points where it crosses or touches the axes.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences