Integrate ln(x/7) with respect to x

Firstly split up the ln(x/7) = ln(x) - ln(7) using rules of logarithms learnt in your first year of A-levels, as this will reduce any likely error.Secondly, recognise that the -ln(7) term is constant, and so just integrates into -xln(7).The ln(x) term can be integrated by parts, taking u = ln(x) u' = 1/x v' = 1 v= x. The answer you will obtain is xln(x/7) - x + c.

Answered by Arjun S. Maths tutor

2752 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate xlnx with respect to x


Find the surface area of a hand held fan (modeled with negligible depth) with radius 8 cm and a 60 degree angle at the centre


How can you integrate ln(x) with respect to x?


Express 3sin(2x) + 5cos(2x) in the form Rsin(2x+a), R>0 0<a<pi/2


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