How would you integrate ln(x)

It can seem tricky to integrate ln(x), as there is no obvious solution to do it.It is, however, quite simple to do if you use the 'by parts' method.If you have y=ln(x)Set u=ln(x) and dv/dx=1That gives du/dx=1/x and v=x.So, using the 'by parts' formula, this would give an answer of xln(x)-x+c

AC
Answered by Adam C. Maths tutor

2965 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrating (e^x)sin(x)


Given that the binomial expansion of (1 + kx) ^ n is 1 - 6x + 30x^2 + ..., find the values of n and k.


How to transform graphs of functions?


Find the coordinates of the stationary points y=x^4-8x^2+3


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:

© 2025 by IXL Learning