How do you integrate (2x)/(1+x^2) with respect to x?

The key here is to recognise that this is in the form f'(x)/f(x). We can use the idea that integration is the inverse of differentiation, and the knowledge that the derivative of ln(f(x)) is equal to f'(x)/f(x). In this case f(x)=1+x^2, so we have that the integral of (2x)/(1+x^2) is equal to ln(1+x^2)+c.

Related Maths A Level answers

All answers ▸

differentiate y=(5x-2)^5


Using Discriminants to Find the Number of Roots of a Quadratic Curve


How do I invert a 2x2 square matrix?


The probability function of a discrete random variable X is given by p(x)=x^2 x =1,2,3. Find E(X)


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