Integrate 1/(1 - 3*x) with respect to x

First substitute: u = 1 - 3xNext calculate: du/dx = -3 .... therefore dx = (-1/3) * duNow re-arrange the expression: Integrate 1/u * ( -1/3)*duNext recall the integral of 1/x is the natural logarithm, and remember the constant! The integral is: (-1/3)*ln(u) + cNow replace u: (-1/3)*ln(1-3x) + c

NM
Answered by Neil M. Maths tutor

2800 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is 'grouping' and how does it work?


Find the stationary point on the line of y = 6x - x^2 and state whether this point is a maximum or a minimum


Differentiate the function y = 26 + x - 4x³ -½x^(-4)


Solve for 0<x≤2π, cos^2(x)-3cos(x)=5sin^2(x)-2, giving all answers exactly


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