How do you integrate the natural logarithm ln(x)?

To integrate this function, we must first recognise that ln(x) can be treated as 1 multiplied by ln(x). Using this knowledge, we can apply the 'integration by parts method' to integrate the function.Formula: I(u.v') = (u.v) - I(u'.v)Using this formula, treating 1 as v' and ln(x) as u in the function to be integrated, we obtain the indefinite integral result of x.ln(x) - x.

AA
Answered by Andrew A. Maths tutor

4074 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

A line L is parallel to y=4x+5 and passes through the point (-1, 6). Find the equation of the line L in the form y=ax+b . Find also the coordinates of its intersections with the axes.


How would I integrate the indefinite integral x^2 dx?


What are complex numbers?


Given that y = ((4x+3)^5)(sin2x), find dy/dx


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