How do I integrate ln(x)

This is an integral many people struggle with, but, with a simple trick it becomes a little more straight forward. We will approach this integral using integration by parts.

But what are the parts?

Well, we can write ln(x) as 1ln(x).

We choose u=ln(x) and dv=1, so du=1/x and v=x

So the integral ln(x) becomes:

 xln(x) – integral(x/x)

Which is:

 x*ln(x)- x + c

Which is our final answer.

Answered by Tom M. Maths tutor

3678 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate, y = 2x^3 + 2/x + 3


What qualifications and experience do you have at this level?


Use logarithms to solve 9^x=15


How do I maximise/minimise a given function f(x)?


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 2013–2024

Terms & Conditions|Privacy Policy