How to integrate ln(x)?

You need to use a clever trick for this! Write ln(x) as 1ln(x), and use integration by parts:u=ln(x) v'=1u'=1/x v=xThen applying the formula we obtain∫ln(x)dx = xln(x) - ∫[(1/x)x] dx = = xln(x) - ∫1 dx = = xln(x) - x + C = x(ln(x) - 1) + CAnd if we have some data we can work out the constant of integration C.

KW
Answered by Krzysztof W. Further Mathematics tutor

2476 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Prove by mathematical induction that 11^n-6 is divisible by 5 for all natural numbers n


Integrate ln(x) with respect to x.


Using z=cos(θ)+isin(θ), find expressions for z^n-1/z^n and z^n+1/z^n


How do I determine whether a system of 3 linear equations is consistent or not?


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences