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

3306 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do we use the Chain-rule when differentiating?


Express the following in partial fractions: (1+2x^2)/(3x-2)(x-1)^2


For rectangles of area 100 m^2 what is the perimeter of the rectangle with the smallest perimeter?


A curve has equation y = (12x^1/2)-x^3/2


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