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

3250 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you find the point or points of intersection of a straight line and a circle?


How to translate a function of form y = f(x)


Find the equation of the straight line passing through the origin that is tangent to the curve y = ln(x).


A circle A has equation x^2+y^2-6x-14y+54=0. Find a) the coordinates of the centre of A, b) the radius of the circle A.


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