Integrate ln(x) with respect to x.

Here we can use integration by parts. Notice that ln(x) can be written as ln(x)1, so we can integrate 1 and differentiate ln(x).
Then using the formula int(u
v') dx = uv - int(u'v) dx, we find that the integral of ln(x) is xln(x) - int(1/x * x) dx = xln(x) - int(1) dx = xln(x) - x + c, where c is a constant of integration.

Related Further Mathematics A Level answers

All answers ▸

Evaluate ∫sin⁴(x) dx by expressing sin⁴(x) in terms of multiple angles


How to determine the rank of a matrix?


For f(x) = (3x+4)^(-2), find f'(x) and f''(x) and hence write down the Maclaurin series up to and including the term in x^2.


How do you find the derivative of arcsinx?


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