How do I integrate ln(x), using integration by parts?

This is a common question among A-Level Maths students, as integration by parts requires 2 things: 1. Something to integrate ; 2. Something to differentiate. In ln(x), we can immediately see that ln(x) is the 'something' that we differentiate. But what about the 'something' to integrate? Here, we have to put our creative mathematical hats on, and imagine a constant '1' behind the ln(x), so imagine it written as 1 x ln(X). Aha! Now we have the 'something' to integrate, which is the constant '1'. After clarifying this issue, the rest of the solution just requires the implementation of the integration by parts technique, which I'll happily demonstrate in the live session!

Answered by Mustafa K. Maths tutor

3251 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given that (2x-1) : (x-4) = (16x+1) : (2x-1), find the possible values of x


A curve is given by the equation y = (1/3)x^3 -4x^2 +12x -19. Find the co-ordinates of any stationary points and determine whether they are maximum or minimun points.


Find tan(A-B) sec^2(A) - 2tan(A) = 16 && sin(B)sec^2(B) = 64cos(B)cosec^2(B)


solve the simultaneous equation; x^2+y^2=10 2x+y=5


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