How do you intergrate ln(x)?

There's a nice trick here you can do, treat the equation as 1*ln(x) then intergrate by parts.

Differentiating ln(x) gives 1/x, while intergrating 1 gives x

So your left with a much easier intergration

xln(x)-(Intergral sign)x 1/x dx

which is simply x*ln(x)-x

OM
Answered by Oliver M. Maths tutor

7406 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The finite region S is bounded by the y-axis, the x-axis, the line with equation x = ln4 and the curve with equation y = ex + 2e–x , (x is greater than/equal to 0). The region S is rotated through 2pi radians about the x-axis. Use integration to find the


How do we know that the derivative of x^2 is 2x?


What are logarithms and how do you manipulate them?


Of the following 4 equations, 3 of them represent parallel lines. Which is the odd one out?


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