Can you explain where the "Integration by parts" formula comes from?

Sure. If you remember how to calculate d/dx(uv) then you can understand how integration by parts works. d/dx(uv) = u(dv/dx) + v(du/dx). we can re-arrange this: u(dv/dx) = d/dx(uv) - v(du/dx). Now integrating both sides: |u.dv = uv - |v.du (Where I've used "|" for the integration sign) which is the integration by parts formula.

All you need to do is work out what you use as "u" and "dv", which comes down to experience.

CF
Answered by Christian F. Maths tutor

3688 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How do you find the roots of a cubic equation?


A curve has equation y = 4x + 1/(x^2) find dy/dx.


What is the sum of the infinite geometric series 1 + 1/3 + 1/9 +1/27 ...?


A new sports car accelerates using rockets at 5m/s for 30 seconds from some traffic lights and then decelerate for 45 seconds to a stop.


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