Find the integral of xcos(2x) with respect to x

You can see that this question is asking you to do integration by parts. Remember that the integral of uv' is equal to uv - the integral of u'v. You want to find a u that gets easier when you differentiate it and a v' that's possible to integrate directly and doesn't get messier when you integrate it. In this case let u = x and v' = cos(2x). u' = 1 and v = sin(2x)/2. The integral of xcos(2x) = xsin(2x)/2 - the integral of sin(2x)/2Hence the integral of xcos(2x) = xsin(2x)/2 + cos(2x)/4 + c.

KJ
Answered by Krystian J. Maths tutor

9589 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find a solution to sec^(2)(x)+2tan(x) = 0


Describe the set of transformations that will transformthe curve y=x^ to the curve y=x^2 + 4x - 1


How do I find a stationary point on the curve?


How do you use the chain rule?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences