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

3281 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

An open-topped fish tank is to be made for an aquarium. It will have a square base, rectangular sides, and a volume of 60 m3. The base materials cost £15 per m2 and the sides £8 per m2. What should the height be to minimise costs?


Find, using calculus, the x coordinate of the turning point of the curve with equation y=e^3x cos 4


Differentiate the function; f(x)=1/((5-2x^3)^2)


Show that 2tan(th) / (1+tan^2(th)) = sin(2th), where th = theta


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:

© 2026 by IXL Learning