How do you integrate xcos(x)?

Using integration by parts: split xcos(x) into x multiplied by cos(x). Differentiating x gives 1 and integrating cos(x) gives sin(x). The integral of xcos(x) can therefore be rewritten as xsin(x) - integral of 1*sin(x) using the formula for integration by parts. The integral of sin(x) is -cos(x), so the integral of xcos(x) becomes xsin(x) -(-cos(x)) which simplifies to xsin(x)+cos(x)+C where C is an arbitrary constant of integration.

Answered by Aleksandr B. Maths tutor

4728 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

C2 differentiate 2x^2 -3x +4 with respect to X


How do I solve x^2 > 6 - x


What is Differentiation?


Let z=x+yi such that 16=5z - 3z*, What is z?


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 2013–2024

Terms & Conditions|Privacy Policy