Calculate the indefinite integral of xsinx

They key is to integrate by parts, set u = x, u' = 1, v' = sinx, v = -cosx
So, integral(xsinx) =uv - integral(u'v)+c = -xcosx - integral(-cosx) +c = -xcosx +sinx + c
which is the answer

Answered by Samuel L. Maths tutor

3524 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The curve C has the parametric equations x=4t+3 and y+ 4t +8 +5/(2t). Find the value of dy/dx at the point on curve C where t=2.


Differentiate y = x sin(x)


how to find flight time/distance and greatest hight of projectiles?


How do you find the integral of (2+5x)e^3x ?


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