How do you know when to integrate by parts?

This is usually a good idea if you have an integral with two functions multiplied together when one of the functions differentiates to a constant (could take more than one differentiation).For example to find integral(xcos(x))we apply the formula: uv' = uv - integral(vu')with u(x) = x and v'(x) = cos(x)This will get: integral(xcos(x)) = xsinx - integral(sin(x)) = xsin(x) + cos(x)
Even if you're not sure it's worth having a go to see if it works and if not try a different method.

Answered by Dominic H. Maths tutor

2547 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The line AB has equation 5x + 3y + 3 = 0. The line AB is parallel to the line with the equation y = mx + c. Find the value of m.


Differentiate The Following function


Solve the complex equation z^3 + 32 + 32i(sqrt(3)) = 0


How to prove that (from i=0 to n)Σi^2= (n/6)(n+1)(2n+1), by induction.


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