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

3526 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the angle between two lines with vector equations r1 = (2i+j+k)+t(3i-5j-k) and r2 = (7i+4j+k)+s(2i+j-9k)


The quadratic equation (k+1)x^2 + (5k-3)x + 3k = 0 has equal roots, find the possible values of the real number k.


Given y=x^2(1+4x)^0.5, show that dy/dx=2x(5x+1)/((1+4x)^0.5)


Differentiate "sin(2x)"


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