What is the integral of ln x dx

as ln x is not a standard integral given in the formula booklet, but it’s derivative is a standard derivative, you can split ln x into 1 times ln x. This allows you to use the integral product rule method where the total integral is equal to uv - the integral of v(du/dx). Here you would let u = lnx and dv/dx = 1. Therefore you would differentiate u and integrate dv/dx to give du/dx = 1/x and v = x. now using these values you put them into the equation giving xlnx - the integral of x/x (vdu/dx). This finally results in Xlnx - x.

AL
Answered by Alex L. Maths tutor

6415 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the stationary points of the curve given by the following function: f(x) = x^2 + 5x + 2


Given that y=x/(2x+5) find dy/dx.


Suppose that you go to a party where everyone knows at least one other person, you get a bit bored and wonder whether there are at least two people which know the same number of people there.


Find the integral of 1/(x-5) with respect to x


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