How would you integrate ln(x)

It can seem tricky to integrate ln(x), as there is no obvious solution to do it.It is, however, quite simple to do if you use the 'by parts' method.If you have y=ln(x)Set u=ln(x) and dv/dx=1That gives du/dx=1/x and v=x.So, using the 'by parts' formula, this would give an answer of xln(x)-x+c

AC
Answered by Adam C. Maths tutor

2808 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

When is an arrangement a combination, and when a permutation?


How do you calculate the angle between two vectors?


Given x=Sqrt(3)sin(2t) and y=4cos^2(t), where 0<t<pi. Show that dy/dx = kSqrt(3)tan(2t).


Solve simultaneously: x + y + 3 = 0 and y = 2x^2 +3x - 1


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