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.

AS
Answered by Arjun S. Maths tutor

3159 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Write (3 + 2√5)/(7 + 3√5) in the form a + b√5


Find the derivative of A^4 + 2A^2 - 3A + 4


Find the general solution, in degrees, of the equation 2sin(3x+45°)=1. Use your general solution to find the solution of 2sin(3x+45°)=1 that is closest to 200 °.


Solve the inequality |x - 2sqrt(2)| > |x - 4sqrt(2)|.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning