Integrate 2x/(x^2+3) using the substitution u=x^2+3

u=x2 + 3

du/dx=2x

dx=du/2x

2x/(x2+3) dx becomes (2x/u) * (du/2x)

the 2x terms cancel out giving 1/u du

this integrates to ln(u)+c becoming ln(x2+3)+c

Answered by Tom S. Maths tutor

12809 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve the following equation for k, giving your answers to 4 decimal places where necessary: 3tan(k)-1=sec^2(k)


When and how do I use the product rule for differentiation?


How do you integrate the function cos^2(x)


A circle C with centre at the point (2, –1) passes through the point A at (4, –5). Find an equation for the circle C.


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