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

3811 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate 3x^(2)+xy+y^(2)=12 with respect to x


A particle of weight 15N is resting on a plane inclined at an angle of 30°. Find : a) the normal force exerted on the particle, b) the coefficient of friction between the particle and the plane, providing it is in limiting equilibrium


Differentiate y=(x^2 + 2x)cos(3x)


A particle of mass 0.25 kg is moving with velocity (3i + 7j) m s–1, when it receives the impulse (5i – 3j) N s. Find the speed of the particle immediately after the impulse.


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