Integrate the following expression with respect to x by parts: (2*x)*sin(x)

The integration by parts formula: S:udv/dx = uv -  S:v*du/dx, where S: means "Integral of with respect to x" 

Let 2*x be u and sin(x) be dv/dx

So du/dx =2 and v= -cos(x)

So S:(2x)sin(x) = (2x)(-cos(x)) - S:-cos(x)*2

= -2xcos(x) + 2*sin(x)

= 2sin(x) - 2x*cos(x) +c

DP
Answered by David P. Maths tutor

2925 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Solve integral [3x^2 (x^3 + 1)^6] dx


(19x - 2)/((5 - x)(1 + 6x)) can be expressed as A/(5-x) + B/(1+6x) where A and B are integers. Find A and B


Integrate (3x^2+2x^-1) with respect to x in the range of K to 3 and explain why K cannot be 0


How to find out where 2 lines cross/simultaneous equations


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