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.

Answered by Alex L. Maths tutor

5736 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Sketch the function (x^4 + 2x^3 - x -2)/(x+2)


Find the exact value of the integral of (2+7/x), between x=1 and x=e. Give your answer in terms of e.


differentiate ln( x^2 )


How do you solve an equation by completing the square?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences