How do you integrate ln(x) with respect to x?

This integral must be done using integration by parts. Therefore, we set u=ln(x) and dv=dx, which gives du=1/x and v=x.
Then, using the integration by parts formula the integral now equals x*ln(x)-int[dx]. This is then easily solved to give x[ln(x)-1], and we can't forget the constant of integration so to the end of this we add "+ c", giving a final answer of x[ln(x)-1] + c.

OH
Answered by Oliver H. Maths tutor

4787 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What's the point of writing my mathematics well if I don't get extra marks for it?


Find the coordinates of the point of intersection of the lines 2x + 5y = 5 and x − 2y = 4.


The curve A (y = x3 – x2 + x -1) is perpendicular to the straight-line B at the point P (5, 2). If A and B intersect at P, what is the equation of B? Also, find any stationary points of the curve A.


Differentiate e^x^2


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences