Integrate lnx

This requires your knowledge of integration by parts. The trick here is that lnx can also be written as lnx*1 (as any term multiplied by 1 is itself). We set u=lnx and dv/dx equal to 1. Hence from this we can write du/dx = 1/x and v =x. Now, we can apply the integration by parts formula to lnx, which will give us xlnx - x + c

AO
Answered by Anthony O. Maths tutor

3229 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the value of dy/dx at the point where x = 2 on the curve with equation y = x^ 2 √(5x – 1).


Differentiate the following: y = 3x^(1/3) + 2


Find the area under the curve y = (4x^3) + (9x^2) - 2x + 7 between x=0 and x=2


How do we use the Chain-rule when differentiating?


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