How to integrate ln(x)?

You need to use a clever trick for this! Write ln(x) as 1ln(x), and use integration by parts:u=ln(x) v'=1u'=1/x v=xThen applying the formula we obtain∫ln(x)dx = xln(x) - ∫[(1/x)x] dx = = xln(x) - ∫1 dx = = xln(x) - x + C = x(ln(x) - 1) + CAnd if we have some data we can work out the constant of integration C.

KW
Answered by Krzysztof W. Further Mathematics tutor

2653 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Write (1+2i) /(2-i) in form x+iy


Find the determinant of matrix M. [3]


The point D has polar coordinates ( 6, 3π/4). Find the Cartesian coordinates of D.


A parabola with equation y^2=4ax for constant a is translated by the vector (2,3) to give the curve C. The curve C passes through the point (4,7), what is the value of 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